On semilinear elliptic problems involving critical exponents

DOI10.1016/j.na.2008.12.021zbMath1173.35468OpenAlexW2086780136MaRDI QIDQ1017729

Cecilia S. Yarur, García-Huidobro, Marta

Publication date: 12 May 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/142594

zbMATH Keywords

semilinear elliptic problemscritical dimensionsPohozaev identitiesBrezis-Nirenberg results

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Cites Work

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• Simplicity of principal eigenvalue for \(p\)-Laplace operator with singular indefinite weight
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• Symmetry and related properties via the maximum principle
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Quasilinear elliptic equations with critical exponents
• Nonexistence of positive solutions of quasilinear equations
• Some results on \(p\)-Laplace equations with a critical growth term.
• On the structure of positive radial solutions to an equation containing a \(p\)-Laplacian with weight
• Quasilinear elliptic equations involving critical Sobolev exponents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• ON A CLASS OF QUASILINEAR ELLIPTIC PROBLEMS INVOLVING CRITICAL EXPONENTS
• Radial solutions for a quasilinear equation via Hardy inequalities.

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