Existence and nonexistence of least energy solutions of the Neumann problem for a semilinear elliptic equation with critical Sobolev exponent and a critical lower-order perturbation.

DOI10.1016/S0022-0396(02)00070-0zbMath1163.35372arXiv1407.6232OpenAlexW2017505315MaRDI QIDQ1867248

Pedro Martins Girão, David Goldstein Costa

Publication date: 2 April 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6232

zbMATH Keywords

inequalitiescritical Sobolev exponentNeumann problemleast energy solutions

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Related Items (3)

The Hénon equation with a critical exponent under the Neumann boundary condition ⋮ On the second solution to a critical growth Robin problem ⋮ A sharp inequality for Sobolev functions

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