Infinitely many bounded solutions for the \(p\)-Laplacian with nonlinear boundary conditions

DOI10.1007/s00605-010-0190-3zbMath1216.35059OpenAlexW2001880855MaRDI QIDQ538398

Csaba Varga, Antonio Iannizzotto, Francesca Faraci

Publication date: 25 May 2011

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-010-0190-3

zbMATH Keywords

critical points\(p\)-Laplaciannonlinear boundary conditionsinfinitely many solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

On the first exterior \(p\)-harmonic Steklov eigenvalue ⋮ Multiplicity results for some elliptic problems with nonlinear boundary conditions involving variable exponents ⋮ Infinitely many positive harmonic functions with an oscillating boundary condition on exterior regions

Cites Work

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