A nonexistence theorem for an equation with critical Sobolev exponent in the half space

DOI10.1007/BF02567057zbMath0796.35050MaRDI QIDQ1210038

Massimo Grossi, Filomena Pacella, Henri Berestycki

Publication date: 16 May 1993

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155782

zbMATH Keywords

critical Sobolev exponentnonexistence of positive solutionsmoving plane methodshomogeneous mixed boundary conditionssemilinear elliptic equation in the half space

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (3)

Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions. ⋮ High energy positive solution for mixed and Neumann elliptic problems with critical nonlinearity ⋮ Liouville type theorems for two mixed boundary value problems with general nonlinearities

Cites Work

• Convergence of solutions of H-systems or how to blow bubbles
• Symmetry and related properties via the maximum principle
• Problemi al contorno ellittici, con dati discontinui, dotati di soluzioni hölderiane
• A symmetry problem in potential theory
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• Existence and non-existence results for semilinear elliptic problems in unbounded domains
• Positive solutions of nonlinear elliptic equations with critical Sobolev exponent and mixed boundary conditions
• Unnamed Item

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