Existence of solutions to p-Laplace equations with logarithmic nonlinearity
Jing Hui Mo, Zuodong Yang · DOAJ (DOAJ: Directory of Open Access Journals) · 2009
This article concerns the the nonlinear elliptic equation $$ -hbox{div}(| abla u|^{p-2} abla u) =log u^{p-1}+lambda f(x,u) $$ in a bounded domain $Omega subset mathbb{R}^{N}$ with $Ngeq 1$ and $u=0$ on $partialOmega$. By means of a double perturbation argument, we obtain a nonnegative solution.