Ratnasingham Shivaji

Ratnasingham Shivaji's AcademicInfluence.com Rankings

Mathematics

#7929

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#10774

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Measure Theory

#3349

World Rank

#3956

Historical Rank

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Mathematics

Ratnasingham Shivaji's Degrees

PhD Mathematics University of Manitoba
Masters Mathematics University of Manitoba

Why Is Ratnasingham Shivaji Influential?

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According to Wikipedia, Ratnasingham Shivaji is an American mathematician, focusing in applied math and mathematical biology, currently the H. Barton Excellence Professor at University of North Carolina at Greensboro and formerly a W. L. Giles Distinguished Professor at Mississippi State University.

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Ratnasingham Shivaji's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Existence results for superlinear semipositone BVP’s (1996) (176)
Persistence in reaction diffusion models with weak allee effect (2006) (153)
Diffusive logistic equation with constant yield harvesting, I: Steady states (2002) (141)
An existence result on positive solutions for a class of p-Laplacian systems (2004) (122)
S-shaped bifurcation curves (1981) (99)
Non-negative solutions for a class of non-positone problems (1988) (77)
Nonnegative Solutions for a Class of Nonpositone Problems (1988) (76)
An existence result on positive solutions for a class of semilinear elliptic systems (2004) (64)
Nonlinear eigenvalue problems with semipositone structure (2000) (63)
Positive Solutions of Quasilinear Boundary Value Problems (1998) (63)
Multiple positive solutions for classes of $p$-Laplacian equations (2004) (59)
Nonnegative solutions for a class of radially symmetric nonpositone problems (1989) (55)
Positive Solutions for a Class of Nonlinear Boundary Value Problems with Neumann)Robin Boundary Conditions (1999) (44)
Classes of infinite semipositone systems (2009) (43)
Positive solutions for a class of p-Laplacian systems with multiple parameters (2007) (42)
Diffusion problems with a mixed nonlinear boundary condition (1990) (42)
Logistic equation with the p-Laplacian and constant yield harvesting (2004) (40)
Positive solutions for a concave semipositone Dirichlet problem (1998) (40)
Uniqueness of non-negative solutions for a semipositone problem with concave nonlinearity (1995) (39)
Uniqueness and stability of nonnegative solutions for semipositone problems in a ball (1993) (38)
Multiple positive solutions for a class of semilinear elliptic boundary value problems (1999) (38)
Existence Results for Classes of Sublinear Semipositone Problems (1993) (36)
Positive solutions for a class of infinite semipositone problems (2007) (33)
Evolution of Positive Solution Curves in Semipositone Problems with Concave Nonlinearities (2000) (32)
Multiple Positive Solutions for a Class of Semipositone Neumann Two Point Boundary Value Problems (1993) (32)
On the Number of Solutions of Boundary Value Problems Involving the P-Laplacian (1996) (32)
Positive solution curves of semipositone problems with concave nonlinearities (1997) (31)
Nonexistence of radially symmetric nonnegative solutions for a class of semi-positone problems (1989) (31)
On positive solutions for classes of p-Laplacian semipositone systems (2003) (30)
Multiplicity and uniqueness of positive solutions for elliptic equations with nonlinear boundary conditions arising in a theory of thermal explosion (2014) (30)
Uniqueness of Nonnegative Solutions for Semipositone Problems on Exterior Domains (2012) (29)
Instability of nonnegative solutions for a class of semipositone problems (1991) (29)
Existence and uniqueness for a class of quasilinear elliptic boundary value problems (2003) (28)
Positive solutions for infinite semipositone problems on exterior domains (2011) (26)
Uniqueness results for a class of positone problems (1983) (26)
S-shaped bifurcation curves in ecosystems (2011) (25)
Explosive nonnegative solutions to two point boundary value problems (1996) (24)
On singular quasi-monotone (p, q)-Laplacian systems (2012) (24)
Existence of positive radial solutions for superlinear, semipositone problems on the exterior of a ball (2016) (23)
Population models with diffusion, strong Allee effect and constant yield harvesting (2009) (23)
Positive solutions for classes of multiparameter elliptic semipositone problems. (2007) (22)
Positive solutions for infinite semipositone problems with falling zeros (2010) (22)
Existence and multiplicity of positive radial solutions for singular superlinear elliptic systems in the exterior of a ball (2019) (22)
Semipositone problems with falling zeros on exterior domains (2013) (21)
Remarks on an S-shaped bifurcation curve (1985) (21)
Uniqueness of positive solutions for a class of elliptic boundary value problems (1984) (20)
Positive solutions for elliptic equations involving nonlinearities with falling zeroes (2009) (20)
Multiplicity results for classes of singular problems on an exterior domain (2013) (20)
EXACT MULTIPLICITY OF SOLUTIONS FOR CLASSES OF SEMIPOSITONE PROBLEMS WITH CONCAVE-CONVEX NONLINEARITY (2001) (19)
Positive Solutions for Semi-Positone Systems in an Annulus (1999) (19)
Uniqueness of positive solutions for a class of semipositone elliptic systems (2007) (19)
Frequency of Occurrence and Population-Dynamic Consequences of Different Forms of Density-Dependent Emigration (2020) (19)
Multiple solutions for a Dirichlet problem with jumping nonlinearities, II (1988) (17)
POSITIVE RADIAL SOLUTIONS FOR ELLIPTIC EQUATIONS ON EXTERIOR DOMAINS WITH NONLINEAR BOUNDARY CONDITIONS (2014) (17)
An exact bifurcation diagram for a reaction–diffusion equation arising in population dynamics (2018) (17)
ON THE EXACTNESS OF AN S-SHAPED (1999) (17)
A uniqueness result for a semipositone p-Laplacian problem on the exterior of a ball (2017) (16)
Existence of positive solutions for a class of p-Laplacian superlinear semipositone problems (2015) (16)
Simple proofs of some results in perturbed bifurcation theory (1982) (16)
Existence of positive radial solutions for a superlinear semipositone p-Laplacian problem on the exterior of a ball (2018) (16)
Existence results for classes of Laplacian systems with sign-changing weight (2007) (16)
EXISTENCE RESULTS FOR CLASSES OF p-LAPLACIAN (2006) (15)
SUBSOLUTIONS: A JOURNEY FROM POSITONE TO INFINITE SEMIPOSITONE PROBLEMS (2009) (15)
Multiplicity Results for Classes of Infinite Positone Problems (2011) (15)
Diffusive logistic equation with non-linear boundary conditions (2011) (14)
Positive solutions for a class of superlinear semipositone systems on exterior domains (2014) (14)
An existence result for a class of superlinear $p$-Laplacian semipositone systems (2001) (14)
Positive radial solutions to classes of singular problems on the exterior domain of a ball (2016) (14)
Analysis of positive solutions for classes of quasilinear singular problems on exterior domains (2017) (14)
Uniqueness of positive radial solutions for a class of semipositone problems on the exterior of a ball (2015) (14)
Effects of Patch–Matrix Composition and Individual Movement Response on Population Persistence at the Patch Level (2019) (14)
Existence results for a class of $p$-Laplacian problems with sign-changing weight (2005) (14)
Positive radial solutions for a class of singular superlinear problems on the exterior of a ball with nonlinear boundary conditions (2017) (13)
Population models with diffusion, strong Allee effect, and nonlinear boundary conditions (2011) (13)
Uniqueness of positive radial solutions for infinite semipositone p-Laplacian problems in exterior domains (2019) (13)
Instability of nonnegative solutions for a class of semilinear (1998) (12)
Sign changing solutions for a class of superlinear multi-parameter semi-positone problems (1995) (12)
Existence results for classes of -Laplacian semipositone equations (2006) (11)
A three solution theorem for singular nonlinear elliptic boundary value problems (2015) (11)
A class of semipositone p-Laplacian problems with a critical growth reaction term (2016) (11)
Infinite semipositone problems with asymptotically linear growth forcing terms (2012) (11)
Population models with nonlinear boundary conditions. (2010) (10)
Nonexistence of Positive Solutions for a Class of Semilinear Elliptic Systems (2006) (10)
Diffusive logistic equation with constant yield harvesting and negative density dependent emigration on the boundary (2014) (10)
SEMILINEAR ELLIPTIC EQUATIONS WITH GENERALIZED CUBIC NONLINEARITIES (2005) (10)
Existence and uniqueness of solutions to a class of singular diffusion problems (1988) (10)
A Double S-Shaped Bifurcation Curve for a Reaction-Diffusion Model with Nonlinear Boundary Conditions (2010) (10)
An existence result for a semipositone problem with a sign changing weight (2006) (10)
A quadrature method for classes of multi–parameter two point boundary value problems (1994) (9)
EXISTENCE RESULTS FOR NON-AUTONOMOUS ELLIPTIC BOUNDARY VALUE PROBLEMS (1994) (9)
Positive solutions of multiparameter semipositone p-Laplacian problems (2008) (9)
Existence of Infinitely Many Non-Trivial Bifurcation Points (1992) (9)
On radial solutions for singular combined superlinear elliptic systems on annular domains (2017) (9)
Modeling the effects of density dependent emigration, weak Allee effects, and matrix hostility on patch-level population persistence. (2019) (8)
Classes of reaction diffusion equations where a parameter influences the equation as well as the boundary condition (2019) (8)
An existence result for superlinear semipositone $p$-Laplacian systems on the exterior of a ball (2018) (8)
A diffusive logistic equation with U-shaped density dependent dispersal on the boundary (2019) (8)
Positive solutions for $n\times n$ elliptic systems with combined nonlinear effects (2011) (8)
An Ecological Model with Grazing and Constant Yield Harvesting (2010) (7)
Existence of a positive solution for a-Laplacian semipositone problem (2005) (7)
Classes of singular $pq-$Laplacian semipositone systems (2010) (7)
On the effects of the exterior matrix hostility and a U-shaped density dependent dispersal on a diffusive logistic growth model (2018) (7)
Existence Results for Semipositone Systems (1996) (6)
Analysis of positive solutions for a class of semipositone p-Laplacian problems with nonlinear boundary conditions (2019) (6)
A uniqueness result for a singular nonlinear eigenvalue problem (2013) (6)
Uniqueness of positive solutions for a singular nonlinear eigenvalue problem when a parameter is large (2014) (6)
ON POSITIVE SOLUTIONS FOR A CLASS OF STRONGLY COUPLED P-LAPLACIAN SYSTEMS (2007) (6)
Positive solutions for a class of non-cooperative pq-Laplacian systems with singularities (2018) (5)
On S-shaped bifurcation curves for multiparameter positone problems (1994) (5)
Classes of infinite semipositone $n \times n$ systems (2011) (5)
Stability analysis of positive solutions to classes of reaction-diffusion systems (2004) (5)
Nonexistence results for classes of 3נ3 elliptic systems (2011) (5)
Uniqueness results for a class of singular diffusion problems (1989) (5)
Existence results for classes of infinite semipositone problems (2013) (5)
Existence results for a class of p-q Laplacian semipositone boundary value problems (2020) (5)
Stability analysis for positive solutions for classes of semilinear elliptic boundary-value problems with nonlinear boundary conditions (2017) (5)
Evolution of bifurcation curves for semipositone problems when nonlinearities develop multiple zeroes (1992) (5)
A study of logistic growth models influenced by the exterior matrix hostility and grazing in an interior patch (2020) (4)
Solvability of certain classes of semilinear boundary value problems (1981) (4)
An Existence Result for a Class of Sublinear Semipositone Systems (2004) (4)
NON-NEGATIVE SOLUTIONS FOR A CLASS OF RADIALLY SYMMETRIC NON-POSITONE PROBLEMS (2010) (3)
Positive solutions for classes of $p$-Laplacian equations (2003) (3)
Positive Solutions for Classes of Multiparameter (2007) (3)
A three solution theorem for a singular differential equation with nonlinear boundary conditions (2019) (3)
Nonexistence results for classes of elliptic systems (2007) (3)
A note on the persistence of an s-shaped bifurcation curve (1987) (3)
Global bifurcations of concave semipositone problems (2019) (3)
S-SHAPED BIFURCATION CURVES FOR LOGISTIC GROWTH AND WEAK ALLEE EFFECT GROWTH MODELS WITH GRAZING ON AN INTERIOR PATCH (2013) (3)
Alternate steady states for classes of reaction diffusion models on exterior domains (2014) (3)
A diffusive weak Allee effect model with U-shaped emigration and matrix hostility (2020) (2)
Singular reaction diffusion equations where a parameter influences the reaction term and the boundary conditions (2021) (2)
An ecological model with a Σ-shaped bifurcation curve (2012) (2)
Bifurcation and multiplicity results for classes of $p,q$-Laplacian systems (2016) (2)
Collaborative Mathematics and Statistics Research (2015) (2)
Σ-Shaped Bifurcation Curves (2021) (2)
POPULATION DYNAMICS WITH SYMMETRIC AND ASYMMETRIC HARVESTING (2009) (2)
Uniqueness for a class of singular quasilinear Dirichlet problem (2020) (2)
Uniqueness of positive radial solutions for a class of infinite semipositone 𝑝-Laplacian problems in a ball (2020) (2)
A comparison of two methods on non-uniqueness for a class of two-point boundary value problems (1988) (2)
Diffusion in nonhomogeneous environment with passive diffusion interface conditions (1993) (2)
Existence of Alternate Steady States in a Phosphorous Cycling Model (2012) (2)
Remark on an application of a sufficient condition for non-uniqueness to a model in immobilized enzyme systems (1987) (2)
BIFURCATION CURVES FOR SOME SINGULAR AND NONSINGULAR PROBLEMS WITH NONLINEAR BOUNDARY CONDITIONS (2018) (2)
Analysis of reaction–diffusion systems where a parameter influences both the reaction terms as well as the boundary (2021) (1)
Multiple positive solutions for a class of $p - q$-Laplacian systems with multiple parameters and combined nonlinear effects (2009) (1)
Modeling the effects of trait-mediated dispersal on coexistence of mutualists. (2020) (1)
Positive radial solutions for a class of (p, q) Laplacian in a ball (2022) (1)
Remark on a sufficient condition for multiplicity in a model in chemical reactor theory (1989) (1)
The diffusive Lotka–Volterra competition model in fragmented patches I: Coexistence (2023) (1)
On positive solutions for a class of strongly coupled -Laplacian systems. (2007) (1)
Influence of singular weights on the asymptotic behavior of positive solutions for classes of quasilinear equations (2020) (1)
A uniqueness result for a class of infinite semipositone problems with nonlinear boundary conditions (2021) (1)
A uniqueness result for a class of singular 𝑝-Laplacian Dirichlet problem with non-monotone forcing term (2021) (1)
Uniqueness for a class of p-Laplacian problems when the reaction term tends to zero at infinity (2021) (1)
On S-shaped and reversed S-shaped bifurcation curves for singular problems (2011) (1)
Nonhomogeneous diffusion with singularities at the boundaries (1997) (1)
Bifurcation and multiplicity results for a class of \begin{document}$n\times n$\end{document} \begin{document}$p$\end{document} -Laplacian system (2018) (1)
Bifurcation, uniqueness and multiplicity results for classes of reaction diffusion equations arising in ecology with nonlinear boundary conditions (2021) (0)
Analysis of reaction–diffusion systems where a parameter influences both the reaction terms as well as the boundary (2021) (0)
S-shaped bifurcation diagrams in exterior domains (2019) (0)
$ \Sigma $-shaped bifurcation curves for classes of elliptic systems (2022) (0)
S-shaped bifurcation diagrams in exterior domains (2019) (0)
Ecological release and patch geometry can cause nonlinear density-area relationships. (2022) (0)
Multiple positive solutions for a class of variational systems (2017) (0)
An exact bifurcation diagram for a p-q Laplacian boundary value problem (2023) (0)
Ground state positive solutions of critical semipositone $p$-Laplacian problems (2016) (0)
Positive solutions for a class of superlinear semipositone systems on exterior domains (2014) (0)
Topics from the 8th Annual UNCG Regional Mathematics and Statistics Conference (2013) (0)
STUDIES ON EFFECTS OF VARYING DATES OF SOWING ON GKOWTH, YIELD AND QUALITY OF SUNFLOWER (Helianthus annuus Linn.) VARIETIES DURING RABI SEASON (1987) (0)
An infinite semipositone problem with a reversed S-shaped bifurcation curve (2022) (0)
A uniqueness result for infinite semipositone p-Laplacian problems in a ball (2021) (0)
Modeling effects of matrix heterogeneity on population persistence at the patch-level. (2022) (0)
An exact bifurcation diagram for a reaction–diffusion equation arising in population dynamics (2018) (0)
Existence and nonexistence of positive radial solutions for a class of $p$-Laplacian superlinear problems with nonlinear boundary conditions (2020) (0)
BIFURCATION AND MULTIPLICITY RESULTS FOR A CLASS OF n × n p -LAPLACIAN SYSTEM (2018) (0)
INFINITE SEMIPOSITONE PROBLEMS WITH A FALLING ZERO AND NONLINEAR BOUNDARY CONDITIONS (2018) (0)
Existence results for classes of infinite semipositone problems (2013) (0)
Electronic Journal of Qualitative Theory of Differential Equations (2020) (0)

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