scientific article; zbMATH DE number 1417207

zbMath0943.35032MaRDI QIDQ4943984

Elves Alves de Barros e Silva, Sérgio H. M. Soares

Publication date: 10 September 2000

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1999_4_28_1_1_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

critical caseexistence of solutionsmultiplicity of solutionsminimax methodssubcritical case

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Variational methods for higher-order elliptic equations (35J35)

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Cites Work

• The concentration-compactness principle in the calculus of variations. The limit case. I
• Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• Quasilinear elliptic equations with critical exponents
• Quasilinear Dirichlet problems in \(\mathbb R^N\) with critical growth.
• Dual variational methods in critical point theory and applications
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Linking theorems and applications to semilinear elliptic problems at resonance
• On an Emden-Fowler type equation
• On semilinear Neumann problems with critical growth for the n-Laplacian
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