An elliptic equation with power nonlinearity and degenerate coercivity
| Autor: | da Silva, Genival |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We discuss the existence and regularity of solutions to the following Dirichlet problem: $$\begin{equation} \begin{cases} -\textrm{div}\left(\frac{Du}{(1+|u|)^{\theta}}\right)= -\textrm{div}\left(u^{\gamma}E(x)\right)+f(x) \qquad & \mbox{in } \Omega,\\ u (x) = 0 & \mbox{on } \partial \Omega, \end{cases} \end{equation}$$ where $\theta,\gamma>0$. An interesting feature of this problem is the interplay between the two nonlinearities, the degeneracy and the power nonlinearity. |
| Databáze: | arXiv |
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