Existence and multiplicity results for a class of elliptic problems with critical Sobolev exponents

DOI10.1216/RMJM/1181072904zbMath0802.35046OpenAlexW1992330876MaRDI QIDQ1331455

V. Pereyra

Publication date: 11 December 1994

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072904

zbMATH Keywords

Palais-Smale conditioncritical exponentsolution multiplicity

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents
• Conformal deformation of a Riemannian metric to constant scalar curvature
• An existence result for nonliner elliptic problems involving critical Sobolev exponent
• Conformal metrics with prescribed scalar curvature
• Dual variational methods in critical point theory and applications
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Positive solutions for some semilinear elliptic equations with critical sobolev exponents

This page was built for publication: Existence and multiplicity results for a class of elliptic problems with critical Sobolev exponents