Variational methods for nonlinear Steklov eigenvalue problems with an indefinite weight function

DOI10.1007/s00526-009-0300-zzbMath1198.35170OpenAlexW1977142402MaRDI QIDQ5961983

Dario Pierotti, Carlo Domenico Pagani

Publication date: 16 September 2010

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-009-0300-z

zbMATH Keywords

Palais-Smale conditionlinking manifoldsmin-max methodsSteklov eigenvalue problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Semilinear elliptic problems with combined nonlinearities on the boundary ⋮ Existence of infinitely many solutions of nonlinear Steklov-Neumann problem ⋮ Multiple variational solutions to nonlinear Steklov problems ⋮ A nonlinear Steklov problem arising in corrosion modeling ⋮ Concentration along Geodesics for a Nonlinear Steklov Problem Arising in Corrosion Modeling

Cites Work

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• A nonlinear elliptic boundary value problem related to corrosion modeling
• On the existence and ‘blow-up’ of solutions to a two-dimensional nonlinear boundary-value problem arising in corrosion modelling

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