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On some nonlinear partial differential equations involving the p‐Laplacian and critical Sobolev trace maps

Article type: Research Article

Authors: Demengel, Françoise; | Nazaret, Bruno

Affiliations: Department of Mathematics, University of Cergy‐Pontoise, 2 avenue Adolphe Chauvain, 95 Cergy, France

Note: [] Corresponding author.

Abstract: In this article, we study some partial differential equations with Neumann nonlinear boundary conditions, related to the problem of the best constant from W^{1,p}(\varOmega) to L^{p^\star}(\curpartial\varOmega), where p^\star is the critical Sobolev exponent for the embedding of W^{1,p}(\varOmega) into L^{q}(\curpartial\varOmega) (\varOmega is a bounded \mathcal{C}^1 open set and p<N).

Journal: Asymptotic Analysis, vol. 23, no. 2, pp. 135-156, 2000

Published: 2000
Price: EUR 27.50
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