Some applications of a perturbative method to elliptic equations with non-homogeneous boundary conditions.

DOI10.1016/S0362-546X(01)00892-6zbMath1063.35064OpenAlexW1965876410MaRDI QIDQ1868004

Anna Maria Candela, Addolorata Salvatore

Publication date: 27 April 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00892-6

zbMATH Keywords

critical point theorynonlinear elliptic equationsperturbative methodsnon-homogeneous boundary data

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Perturbations in context of PDEs (35B20) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

Multiple solutions for perturbed semilinear Schrödinger equations ⋮ Infinitely many solutions for quasilinear elliptic equations with lack of symmetry ⋮ Infinitely many solutions for quasilinear elliptic equations without Ambrosetti-Rabinowitz condition and lack of symmetry ⋮ Multiple solutions for semilinear elliptic systems with non-homogeneous boundary conditions ⋮ Multiple solutions of sublinear Lane-Emden elliptic equations ⋮ Multiplicity of solutions for some semi-linear elliptic systems with non-homogeneous boundary conditions ⋮ A Bahri-Lions theorem revisited ⋮ Infinitely many solutions for some nonlinear supercritical problems with break of symmetry

Cites Work

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• A minimum-maximum principle for a class of non-linear integral equations
• Multiple Critical Points of Perturbed Symmetric Functionals
• Morse indices at critical points related to the symmetric mountain pass theorem and applications
• A Perturbation Method in Critical Point Theory and Applications

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