Non existence of bounded-energy solutions for some semilinear elliptic equations with a large parameter

zbMath1121.35053MaRDI QIDQ2504909

Daniele Castorina, Gianni Mancini

Publication date: 1 February 2007

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108611

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Related Items (2)

Interior estimates for some semilinear elliptic problem with critical nonlinearity ⋮ Nonexistence of bounded energy solutions for a critical exponent problem

Cites Work

• Pohozaev type obstructions and solutions of bounded energy for quasilinear elliptic equations with critical Sobolev growth. The conformally flat case
• Existence and nonexistence of interior-peaked solution for a nonlinear Neumann problem.
• Problèmes de Neumann non linéaires sur les variétés riemanniennes
• Fourth order equations of critical Sobolev growth. Energy function and solutions of bounded energy in the conformally flat case
• Characterization of concentration points and \(L^ \infty\)-estimates for solutions of a semilinear Neumann problem involving the critical Sobolev exponent
• The question of interior blow-up points for an elliptic Neumann problem: the critical case.
• The role of the boundary in some semilinear Neumann problems
• ON A SINGULARLY PERTURBED NEUMANN PROBLEM WITH THE CRITICAL EXPONENT
• The role of the mean curvature in semilinear neumann problem involving critical exponent
• Boundary effect for an elliptic neumann problem with critical nonlinearity
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