A nonexistence result for Yamabe type problems on thin annuli

DOI10.1016/S0294-1449(02)00101-4zbMath1130.35335arXivmath/0311321MaRDI QIDQ697670

Mohamed Ben Ayed, Mokhless Hammami, Khalil O. El Mehdi

Publication date: 17 September 2002

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311321

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (11)

Multidimensional boundary layers for a singularly perturbed Neumann problem ⋮ Energy bounds for entire nodal solutions of autonomous superlinear equations ⋮ Energy and Morse index of solutions of Yamabe type problems on thin annuli ⋮ Multiple positive and 2-nodal symmetric solutions of elliptic problems with critical nonlinearity ⋮ Nonexistence of bounded energy solutions for a critical exponent problem ⋮ Concentration and multiplicity of solutions for a fourth-order equation with critical nonlinearity ⋮ PROFILE AND EXISTENCE OF SIGN-CHANGING SOLUTIONS TO AN ELLIPTIC SUBCRITICAL EQUATION ⋮ Blow-up and nonexistence of sign changing solutions to the Brezis-Nirenberg problem in dimension three ⋮ Multipeak solutions to the Bahri-Coron problem in domains with a shrinking hole ⋮ MULTIPLE SOLUTIONS OF NONHOMOGENEOUS ELLIPTIC EQUATIONS WITH CRITICAL NONLINEARITY ON SYMMETRIC DOMAINS ⋮ Multiple solutions to the Bahri–Coron problem in domains with a shrinking hole of positive dimension

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• A Note on an Equation with Critical Exponent
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

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