A counterexample to the Lazer–McKenna conjecture

DOI10.1016/0362-546X(89)90030-8zbMath0691.35039OpenAlexW2157264780WikidataQ123155620 ScholiaQ123155620MaRDI QIDQ3032671

E. Norman Dancer

Publication date: 1989

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(89)90030-8

zbMATH Keywords

number of solutionssemilinear elliptic problembreaking of symmetry

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65)

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Cites Work

• Counterexamples to some conjectures on the number of solutions of nonlinear equations
• Some remarks on the number of solutions of some nonlinear elliptic problems
• A symmetry theorem and applications to nonlinear partial differential equations
• On a conjecture related to the number of solutions of a nonlinear Dirichlet problem
• Multiplicity of solutions of nonlinear boundary value problems with nonlinearities crossing several higher eigenvalues.
• The G-invariant implicit function theorem in infinite dimensions II