Existence and multiplicity results in the presence of symmetry for elliptic equations with critical Sobolev exponent

DOI10.1016/0362-546X(91)90058-9zbMath0756.35031MaRDI QIDQ4008880

Massimo Grossi

Publication date: 27 September 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

mixed boundary conditionsconcentration-compactness principlesymmetric domains

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Related Items (3)

Existence of solutions for thep-Laplacian with critical Sobolev exponent and convection ⋮ Constrained local minima for smooth functionals and some consequences ⋮ Existence of two solutions of nonlinear elliptic equations with critical Sobolev exponents and mixed boundary conditions

Cites Work

• Multiplicity of positive solutions of nonlinear elliptic equations with critical Sobolev exponent in some contractible domains
• The concentration-compactness principle in the calculus of variations. The limit case. I
• On positive solutions of -Delta(u)=F(x,u)
• Remarks on the Schrödinger operator with singular complex potentials
• Normal and integral currents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Positive solutions of nonlinear elliptic equations with critical Sobolev exponent and mixed boundary conditions
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