Existence of infinitely many solutions for a perturbed elliptic equation with exponential growth

DOI10.1016/0362-546X(94)90020-5zbMath0807.35047OpenAlexW2049973083MaRDI QIDQ4290947

Kunihiko Sugimura

Publication date: 5 May 1994

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

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90020-5

zbMATH Keywords

Morse indexminimax methodssuperlinear elliptic equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20)

Related Items (1)

Multiplicity of solutions for polyharmonic Dirichlet problems with exponential nonlinearities and broken symmetry

Cites Work

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• Morse index of some min-max critical points. I. Application to multiplicity results
• Morse indices at critical points related to the symmetric mountain pass theorem and applications
• A Perturbation Method in Critical Point Theory and Applications
• Bounds on the eigenvalues of the Laplace and Schroedinger operators

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