Abstract
This paper deals with the existence of positive solutions of problem $-\Delta u=u^{N+2\over N-2}+{\varepsilon} w(x)u^q $, with Dirichlet zero boundary condition on $\Omega$ (a bounded domain in $\mathbb R^N$), when $q\geq 1$ and $q\neq{N+2\over N-2}$. We study the existence of solutions which blow-up and concentrate at a single point of $\Omega$ whose location depends on the Robin function and on the coefficient $w$ of the perturbed term.
Citation
Riccardo Molle. Angela Pistoia. "Concentration phenomena in elliptic problems with critical and supercritical growth." Adv. Differential Equations 8 (5) 547 - 570, 2003. https://doi.org/10.57262/ade/1355926840
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