#812,104

Most Influential Person

American mathematician

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.

- Existence results for superlinear semipositone BVP’s (158)
- Diffusive logistic equation with constant yield harvesting, I: Steady states (130)
- Persistence in reaction diffusion models with weak allee effect (125)
- An existence result on positive solutions for a class of p-Laplacian systems (113)
- S-shaped bifurcation curves (101)
- Non-negative solutions for a class of non-positone problems (69)
- Nonnegative Solutions for a Class of Nonpositone Problems (69)
- Nonlinear eigenvalue problems with semipositone structure (62)
- Positive Solutions of Quasilinear Boundary Value Problems (60)
- Multiple positive solutions for classes of $p$-Laplacian equations (57)
- An existence result on positive solutions for a class of semilinear elliptic systems (54)
- Nonnegative solutions for a class of radially symmetric nonpositone problems (53)
- Positive Solutions for a Class of Nonlinear Boundary Value Problems with Neumann)Robin Boundary Conditions (41)
- Classes of infinite semipositone systems (40)
- Diffusion problems with a mixed nonlinear boundary condition (39)
- Positive solutions for a concave semipositone Dirichlet problem (39)
- Positive solutions for a class of p-Laplacian systems with multiple parameters (39)
- Logistic equation with the p-Laplacian and constant yield harvesting (38)
- Multiple positive solutions for a class of semilinear elliptic boundary value problems (37)
- Uniqueness of non-negative solutions for a semipositone problem with concave nonlinearity (37)
- Existence Results for Classes of Sublinear Semipositone Problems (35)
- Uniqueness and stability of nonnegative solutions for semipositone problems in a ball (34)
- Evolution of Positive Solution Curves in Semipositone Problems with Concave Nonlinearities (32)
- Multiple Positive Solutions for a Class of Semipositone Neumann Two Point Boundary Value Problems (31)
- Positive solutions for a class of infinite semipositone problems (30)
- Positive Solution Curves of Semipositone Problems with Concave Nonlinearities (28)
- Nonexistence of radially symmetric nonnegative solutions for a class of semi-positone problems (28)
- Instability of nonnegative solutions for a class of semipositone problems (27)
- On the Number of Solutions of Boundary Value Problems Involving the P-Laplacian (27)
- On positive solutions for classes of p-Laplacian semipositone systems (27)
- Uniqueness of Nonnegative Solutions for Semipositone Problems on Exterior Domains (26)
- Existence and uniqueness for a class of quasilinear elliptic boundary value problems (26)
- Uniqueness results for a class of positone problems (24)
- Explosive nonnegative solutions to two point boundary value problems (24)
- Positive solutions for infinite semipositone problems on exterior domains (23)
- S-shaped bifurcation curves in ecosystems (21)
- Uniqueness of Positive Solutions for a Class of Elliptic Boundary Value Problems (20)
- ON THE EXACTNESS OF AN S-SHAPED BIFURCATION CURVE (19)
- Positive solutions for infinite semipositone problems with falling zeros (19)
- Positive solutions for elliptic equations involving nonlinearities with falling zeroes (18)
- Population models with diffusion, strong Allee effect and constant yield harvesting (18)
- Semipositone problems with falling zeros on exterior domains (18)
- On singular quasi-monotone (p, q)-Laplacian systems (18)
- Remarks on an S-shaped bifurcation curve (18)
- EXACT MULTIPLICITY OF SOLUTIONS FOR CLASSES OF SEMIPOSITONE PROBLEMS WITH CONCAVE-CONVEX NONLINEARITY (17)
- Existence of positive radial solutions for superlinear, semipositone problems on the exterior of a ball (17)
- Multiple solutions for a Dirichlet problem with jumping nonlinearities, II (17)
- Existence results for classes of Laplacian systems with sign-changing weight (16)
- Positive Solutions for Semi-Positone Systems in an Annulus (15)
- Multiplicity results for classes of singular problems on an exterior domain (15)
- Uniqueness of positive solutions for a class of semipositone elliptic systems (15)
- Multiplicity and uniqueness of positive solutions for elliptic equations with nonlinear boundary conditions arising in a theory of thermal explosion (15)
- Positive solutions for classes of multiparameter elliptic semipositone problems. (15)
- EXISTENCE RESULTS FOR CLASSES OF p-LAPLACIAN (14)
- SUBSOLUTIONS: A JOURNEY FROM POSITONE TO INFINITE SEMIPOSITONE PROBLEMS (14)
- An existence result for a class of superlinear $p$-Laplacian semipositone systems (14)
- Simple proofs of some results in perturbed bifurcation theory (13)
- Diffusive logistic equation with non-linear boundary conditions (13)
- Existence results for a class of $p$-Laplacian problems with sign-changing weight (12)
- POSITIVE RADIAL SOLUTIONS FOR ELLIPTIC EQUATIONS ON EXTERIOR DOMAINS WITH NONLINEAR BOUNDARY CONDITIONS (12)
- Sign changing solutions for a class of superlinear multi-parameter semi-positone problems (12)
- Instability of nonnegative solutions for a class of semilinear (11)
- Population models with diffusion, strong Allee effect, and nonlinear boundary conditions (11)
- A uniqueness result for a semipositone p-Laplacian problem on the exterior of a ball (11)
- Nonexistence of Positive Solutions for a Class of Semilinear Elliptic Systems (11)
- Existence of positive radial solutions for a superlinear semipositone p-Laplacian problem on the exterior of a ball (10)
- Infinite semipositone problems with asymptotically linear growth forcing terms (10)
- Existence and uniqueness of solutions to a class of singular diffusion problems (10)
- Frequency of Occurrence and Population-Dynamic Consequences of Different Forms of Density-Dependent Emigration (10)
- Population models with nonlinear boundary conditions. (10)
- Existence of positive solutions for a class of p-Laplacian superlinear semipositone problems (10)
- Uniqueness of positive radial solutions for a class of semipositone problems on the exterior of a ball (10)
- Uniqueness of positive radial solutions for infinite semipositone p-Laplacian problems in exterior domains (9)
- EXISTENCE RESULTS FOR NON-AUTONOMOUS ELLIPTIC BOUNDARY VALUE PROBLEMS (9)
- Existence results for classes of -Laplacian semipositone equations (9)
- Analysis of positive solutions for classes of quasilinear singular problems on exterior domains (9)
- Existence of Infinitely Many Non-Trivial Bifurcation Points (9)
- An existence result for a semipositone problem with a sign changing weight (9)
- SEMILINEAR ELLIPTIC EQUATIONS WITH GENERALIZED CUBIC NONLINEARITIES (9)
- Existence and multiplicity of positive radial solutions for singular superlinear elliptic systems in the exterior of a ball (9)
- Positive radial solutions to classes of singular problems on the exterior domain of a ball (9)
- Positive solutions for a class of superlinear semipositone systems on exterior domains (9)
- A quadrature method for classes of multi–parameter two point boundary value problems (8)
- Multiplicity Results for Classes of Infinite Positone Problems (8)
- A Double S-Shaped Bifurcation Curve for a Reaction-Diffusion Model with Nonlinear Boundary Conditions (7)
- Existence of a positive solution for a-Laplacian semipositone problem (7)
- Diffusive logistic equation with constant yield harvesting and negative density dependent emigration on the boundary (7)
- An exact bifurcation diagram for a reaction–diffusion equation arising in population dynamics (7)
- Positive solutions of multiparameter semipositone p-Laplacian problems (7)
- Effects of Patch-Matrix Composition and Individual Movement Response on Population Persistence at the Patch Level. (7)
- An Ecological Model with Grazing and Constant Yield Harvesting (7)
- Classes of reaction diffusion equations where a parameter influences the equation as well as the boundary condition (6)
- Positive radial solutions for a class of singular superlinear problems on the exterior of a ball with nonlinear boundary conditions (6)
- On radial solutions for singular combined superlinear elliptic systems on annular domains (6)
- Classes of singular $pq-$Laplacian semipositone systems (6)
- A three solution theorem for singular nonlinear elliptic boundary value problems (6)
- ON POSITIVE SOLUTIONS FOR A CLASS OF STRONGLY COUPLED P-LAPLACIAN SYSTEMS (5)
- Stability analysis of positive solutions to classes of reaction-diffusion systems (5)
- Nonexistence results for classes of 3נ3 elliptic systems (5)
- Existence Results for Semipositone Systems (5)
- A uniqueness result for a singular nonlinear eigenvalue problem (5)
- On S-shaped bifurcation curves for multiparameter positone problems (5)
- Uniqueness results for a class of singular diffusion problems (5)
- Classes of infinite semipositone $n \times n$ systems (5)
- An existence result for superlinear semipositone $p$-Laplacian systems on the exterior of a ball (4)
- A diffusive logistic equation with U-shaped density dependent dispersal on the boundary (4)
- Uniqueness of positive solutions for a singular nonlinear eigenvalue problem when a parameter is large (4)
- Evolution of bifurcation curves for semipositone problems when nonlinearities develop multiple zeroes (4)
- Solvability of certain classes of semilinear boundary value problems (4)
- Existence results for classes of infinite semipositone problems (4)
- On the effects of the exterior matrix hostility and a U-shaped density dependent dispersal on a diffusive logistic growth model (4)
- An Existence Result for a Class of Sublinear Semipositone Systems (4)
- Positive Solutions for Classes of Multiparameter (3)
- A note on the persistence of an s-shaped bifurcation curve (3)
- Positive solutions for $n\times n$ elliptic systems with combined nonlinear effects (3)
- Global bifurcations of concave semipositone problems (3)
- Modeling the effects of density dependent emigration, weak Allee effects, and matrix hostility on patch-level population persistence. (3)
- Nonexistence results for classes of elliptic systems (3)
- NON-NEGATIVE SOLUTIONS FOR A CLASS OF RADIALLY SYMMETRIC NON-POSITONE PROBLEMS (3)
- Analysis of positive solutions for a class of semipositone p -Laplacian problems with nonlinear boundary conditions (3)
- A comparison of two methods on non-uniqueness for a class of two-point boundary value problems (2)
- Remark on an application of a sufficient condition for non-uniqueness to a model in immobilized enzyme systems (2)
- Alternate steady states for classes of reaction diffusion models on exterior domains (2)
- A class of semipositone p-Laplacian problems with a critical growth reaction term (2)
- Stability analysis for positive solutions for classes of semilinear elliptic boundary-value problems with nonlinear boundary conditions (2)
- Uniqueness of positive radial solutions for a class of infinite semipositone -Laplacian problems in a ball (2)
- A study of logistic growth models influenced by the exterior matrix hostility and grazing in an interior patch (2)
- An ecological model with a Σ-shaped bifurcation curve (2)
- POPULATION DYNAMICS WITH SYMMETRIC AND ASYMMETRIC HARVESTING (2)
- Collaborative Mathematics and Statistics Research (2)
- Existence of Alternate Steady States in a Phosphorous Cycling Model (2)
- Positive solutions for a class of non-cooperative pq-Laplacian systems with singularities (2)
- Diffusion in nonhomogeneous environment with passive diffusion interface conditions (2)
- Nonhomogeneous diffusion with singularities at the boundaries (1)
- Bifurcation and multiplicity results for classes of $p,q$-Laplacian systems (1)
- On positive solutions for a class of strongly coupled -Laplacian systems. (1)
- A three solution theorem for a singular differential equation with nonlinear boundary conditions (1)
- S-SHAPED BIFURCATION CURVES FOR LOGISTIC GROWTH AND WEAK ALLEE EFFECT GROWTH MODELS WITH GRAZING ON AN INTERIOR PATCH (1)
- Remark on a sufficient condition for multiplicity in a model in chemical reactor theory (1)
- Uniqueness for a class of singular quasilinear Dirichlet problem (1)
- BIFURCATION CURVES FOR SOME SINGULAR AND NONSINGULAR PROBLEMS WITH NONLINEAR BOUNDARY CONDITIONS (1)
- Bifurcation and multiplicity results for a class of \begin{document}$n\times n$\end{document} \begin{document}$p$\end{document} -Laplacian system (1)
- Multiple positive solutions for a class of variational systems (0)
- STUDIES ON EFFECTS OF VARYING DATES OF SOWING ON GKOWTH, YIELD AND QUALITY OF SUNFLOWER (Helianthus annuus Linn.) VARIETIES DURING RABI SEASON (0)
- Influence of singular weights on the asymptotic behavior of positive solutions for classes of quasilinear equations (0)
- Topics from the 8th Annual UNCG Regional Mathematics and Statistics Conference (0)
- Analysis of reaction–diffusion systems where a parameter influences both the reaction terms as well as the boundary (0)
- Singular reaction diffusion equations where a parameter influences the reaction term and the boundary conditions (0)
- A uniqueness result for a class of infinite semipositone problems with nonlinear boundary conditions (0)
- S-shaped bifurcation diagrams in exterior domains (0)
- On S-shaped and reversed S-shaped bifurcation curves for singular problems (0)
- A diffusive weak Allee effect model with U-shaped emigration and matrix hostility (0)
- Electronic Journal of Qualitative Theory of Differential Equations (0)
- A uniqueness result for infinite semipositone p-Laplacian problems in a ball (0)
- Multiple positive solutions for a class of $p - q$-Laplacian systems with multiple parameters and combined nonlinear effects (0)
- Existence results for a class of p-q Laplacian semipositone boundary value problems (0)
- Uniqueness for a class of p-Laplacian problems when the reaction term tends to zero at infinity (0)
- Existence and nonexistence of positive radial solutions for a class of $p$-Laplacian superlinear problems with nonlinear boundary conditions (0)
- INFINITE SEMIPOSITONE PROBLEMS WITH A FALLING ZERO AND NONLINEAR BOUNDARY CONDITIONS (0)
- Ground state positive solutions of critical semipositone $p$-Laplacian problems (0)
- Modeling the effects of trait-mediated dispersal on coexistence of mutualists. (0)
- Σ-Shaped Bifurcation Curves (0)

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