Cleon S. Barroso
Published 2003-10-30Version 1
In this paper, we deal with a class of semilinear elliptic equation in a bounded domain $\Omega\subset\mathbb{R}^N$, $N\geq 3$, with $C\sp{1,1}$ boundary. Using a new fixed point result of the Krasnoselskii's type for the sum of two operators, an existence principle of strong solutions is proved. We give two examples where the nonlinearity can be critical.
A limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth
On Semilinear Elliptic Equation with Measurable Nonlinearity
Uniqueness of the critical points of solutions to two kinds of semilinear elliptic equations in higher dimensional domains
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