Full text
| |
| Author(s): |
Jesus Alberto Leon Tordecilla
Total Authors: 1
|
| Document type: | Doctoral Thesis |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2021-07-16 |
| Examining board members: |
Marcelo da Silva Montenegro;
Marcelo Martins dos Santos;
Gabriela Del Valle Planas;
Francisco Odair Vieira de Paiva;
Adilson Eduardo Presoto
|
| Advisor: | Marcelo da Silva Montenegro |
| Abstract | |
In this work, we use some Nonlinear Functional Analysis techniques to study existence, nonexistence and asymptotic behavior of positive solutions for elliptic problems with a nonlinear boundary condition which it may be written in general form \begin{equation*} \left \{ \begin{aligned} &-\Delta u=\Psi(u)& && \text{ in } & \Omega, \\ & \frac{\partial u}{\partial\nu}= \Gamma(u)& && \text{ on } & \partial \Omega, \end{aligned} \right. \end{equation*} where $ \Omega \subset \R^N $ is a bounded domain with a smooth boundary, $\Psi$ and $\Gamma$ are functions that have a singular or nonsingular term combined with terms which can be both polynomial and exponential. In the exponential case, the nonlinearity in the equation and on the boundary condition may have a subcritical, critical or supercritical Trudinger-Moser growth (AU) | |
| FAPESP's process: | 19/10627-7 - Eliptic problems with nonlinear boundary conditions |
| Grantee: | Jesus Alberto Leon Tordecilla |
| Support Opportunities: | Scholarships in Brazil - Doctorate |