MULTIPLE SOLUTIONS OF NONHOMOGENEOUS ELLIPTIC EQUATIONS WITH CRITICAL NONLINEARITY ON SYMMETRIC DOMAINS

DOI10.1142/S0219199703000963zbMath1030.35072WikidataQ59311002 ScholiaQ59311002MaRDI QIDQ4707467

Otared Kavian, Bernhard Ruf, Mónica Clapp

Publication date: 7 October 2003

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

symmetryelliptic equationsmultiple solutionscritical growth

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Geometric theory, characteristics, transformations in context of PDEs (35A30) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

Multiplicity of solutions for a nonhomogeneous quasilinear elliptic problem with critical growth ⋮ Multiple sign-changing solutions of nonlocal critical exponent problem in symmetric domains ⋮ A general perturbation theorem with applications to nonhomogeneous critical growth elliptic problems ⋮ Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains

Cites Work

• A nonexistence result for Yamabe type problems on thin annuli
• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• Duality and transfer for parametrized spectra
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• Concentration of solutions to elliptic equations with critical nonlinearity
• Best constant in Sobolev inequality
• On category, in the sense of Lusternik-Schnirelmann
• On the number of positive symmetric solutions of a nonautonomous semilinear elliptic problem
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Positive solutions for a semilinear elliptic problem with critical exponent
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