Arbitrary number of positive solutions for an elliptic problem with critical nonlinearity

DOI10.4171/JEMS/35zbMath1129.35406OpenAlexW2029950070MaRDI QIDQ2388676

Olivier Rey, Wei, Juncheng

Publication date: 15 September 2005

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/35

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Abstract bifurcation theory involving nonlinear operators (47J15)

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Cites Work

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• Nonexistence of positive radial solutions of a quasilinear Neumann problem with a critical Sobolev exponent
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• On a Conjecture of Lin-Ni for a Semilinear Neumann Problem
• Geometry and topology of the boundary in the critical Neumann problem.