On the Neumann problem for an elliptic system with weights and multiple critical nonlinearities

DOI10.1134/S1995080215020067zbMath1326.35127MaRDI QIDQ748228

Yamina Hamzaoui, Mohammed Bouchekif

Publication date: 20 October 2015

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

critical Sobolev exponentsPalais-Smale conditionNeumann problemconcentration-compactness principle

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50)

Cites Work

• Unnamed Item
• Unnamed Item
• The concentration-compactness principle in the calculus of variations. The limit case. I
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents
• Large amplitude stationary solutions to a chemotaxis system
• Neumann problems of semilinear elliptic equations involving critical Sobolev exponents
• On systems of elliptic equations involving subcritical or critical Sobolev exponents
• Dual variational methods in critical point theory and applications
• Sharp Sobolev inequality involving a critical nonlinearity on a boundary
• Solutions of elliptic equations involving critical Sobolev exponents with Neumann boundary conditions
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Positive solution for neumann problem with critical non linearity on boundary
• On some nonlinear Neumann problem with weight and critical Sobolev trace maps

This page was built for publication: On the Neumann problem for an elliptic system with weights and multiple critical nonlinearities