An existence result for nonlinear elliptic problems involving critical Sobolev exponent
A. Capozzi
Dipartimento di Matematica dell’Università BariD. Fortunato
Dipartimento di Matematica dell’Università BariG. Palmieri
Dipartimento di Matematica dell’Università Bari
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Abstract
In this paper we consider the following problem:
where is a bounded domain and .
We prove the existence of a nontrivial solution of (1) for any , if .
Résumé
Soient un sous-ensemble ouvert borné de et un nombre positif, le but de cette note c’est de montrer que le problème suivant :
admet, au moins, une solution non triviale, si .
Cite this article
A. Capozzi, D. Fortunato, G. Palmieri, An existence result for nonlinear elliptic problems involving critical Sobolev exponent. Ann. Inst. H. Poincaré Anal. Non Linéaire 2 (1985), no. 6, pp. 463–470
DOI 10.1016/S0294-1449(16)30395-X