Skip to Main content Skip to Navigation
Journal articles

On some nonlinear Neumann problem with weight and critical Sobolev trace maps

Abstract : We consider the problem - div(p(x)del u) = lambda u + alpha vertical bar u vertical bar(r-1)u in Q, partial derivative u/partial derivative nu = Q(x)vertical bar u(q-2)u on partial derivative ohm, where ohm is a bounded smooth domain in R-N, N >= 3, q = 2(N - 1)/(N - 2) and 2 < r < q. Under some conditions on partial derivative ohm, p, Q, lambda, alpha and the mean curvature at some point x(0), we prove the existence of solutions of the above problem. We use variational arguments, namely the concentration-compactness principle, min-max principle and the mountain-pass theorem.
Document type :
Journal articles
Complete list of metadatas

https://hal-upec-upem.archives-ouvertes.fr/hal-00693096
Contributor : Admin Lama <>
Submitted on : Tuesday, May 1, 2012 - 8:09:47 PM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM

Identifiers

  • HAL Id : hal-00693096, version 1

Citation

Habib Yazidi. On some nonlinear Neumann problem with weight and critical Sobolev trace maps. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Cambridge University Press (CUP), 2007, 137 (?), pp.647--670. ⟨hal-00693096⟩

Share

Metrics

Record views

218