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arXiv:math/0411285 [math.AP]AbstractReferencesReviewsResources

Nonexistence results for a class of nonlinear elliptic equations involving critical Sobolev exponents

Cristina Tarsi

Published 2004-11-12Version 1

In this paper we study the problem of bifurcation from the origin of solutions of elliptic Dirichlet problems involving critical Sobolev exponent, defined on a bounded domain $\Omega$ in $\mathbb{R} ^N$: we prove that the first critical case are $N=3, 4$ (not only N=3, as just proved by Brezis and Nirenberg), exhibiting two nonexistence results for a class of elliptic problem in these dimensions.

Comments: 14 pages
Categories: math.AP
Subjects: 35J65
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