This paper deals with the existence of sign changing solutions of the problem −\Delta u = |u|^{p−1}u + εw(x)|u|q−1u in \Omega, u =0 on ∂\Omega, where \Omega is a bounded regular domain in R^N, N greater or equal to 4, ε > 0, p =(N + 2)/(N − 2), q greater or equal to 1, q different form p and w in C1(\bar\Omega).
On the effect of the domain geometry on the existence of sign changing solution to elliptic problems with critical and supercritical growth
MICHELETTI, ANNA MARIA;
2004-01-01
Abstract
This paper deals with the existence of sign changing solutions of the problem −\Delta u = |u|^{p−1}u + εw(x)|u|q−1u in \Omega, u =0 on ∂\Omega, where \Omega is a bounded regular domain in R^N, N greater or equal to 4, ε > 0, p =(N + 2)/(N − 2), q greater or equal to 1, q different form p and w in C1(\bar\Omega).File in questo prodotto:
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