| Title | Date | Views | Brief Description |
|---|
| Nonnegative solutions of nonlinear fractional Laplacian equations |
2020 |
767 |
The study of reaction-diffusion equations involving nonlocal diffusion operators has recently flourished. The fractional Laplacian is an example of a nonlocal diffusion operator which allows long-range interactions in space, and it is therefore impor... |
| Multiple positive solutions for semipositone problems |
2006 |
1977 |
"In this thesis we study the existence of solutions for a class of one dimensional, autonomous boundary value problems with Dirichlet boundary conditions. We shall first discuss certain types of multiplicity results starting with the existence of two... |
| Positive solutions of nonlinear elliptic boundary value problems |
2014 |
2648 |
This dissertation focuses on the study of positive steady states to classes of nonlinear reaction diffusion (elliptic) systems on bounded domains as well as on exterior domains with Dirichlet boundary conditions. In particular, we study such systems ... |
| Positive solutions for a class of one dimensional p-Laplacian problems |
2014 |
1770 |
We will investigate the number of positive solutions for nonlinear boundary value problems (BVPs) with respect to a positive parameter. The nonlinearities we consider are smooth nondecreasing functions that are eventually positive. By utilizing the s... |
| Solvability of nonlinear elliptic boundary value problems |
2023 |
230 |
This dissertation focuses on the study of steady states of reaction diffusion problems that are motivated by applications. In particular, we focus on elliptic boundary value problems where the nonlinear reaction may appear in the interior or on the b... |