Gelfand type elliptic problems under Steklov boundary conditions

DOI10.1016/j.anihpc.2009.09.011zbMath1184.35132OpenAlexW2138430222MaRDI QIDQ846397

Dario Pierotti, Elvise Berchio, Gazzola, Filippo

Publication date: 9 February 2010

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2009.09.011

zbMATH Keywords

blow-upHardy inequalitiesSteklov problemGelfand type equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44)

Related Items (12)

Semilinear elliptic problems with combined nonlinearities on the boundary ⋮ Resonance phenomenon for a Gelfand-type problem ⋮ On the extremal solutions of superlinear Helmholtz problems ⋮ Poincaré trace inequalities in \(BV({\mathbb {B}}^n)\) with non-standard normalization ⋮ Sharp Hardy inequalities in the half space with trace remainder term ⋮ Balls minimize trace constants in BV ⋮ On the stability of initial conditions for the parabolic Gelfand problem ⋮ Note on sharp Hardy-type inequality ⋮ A sharp Hardy-Sobolev inequality with boundary term and applications ⋮ Extremal solutions to Liouville–Gelfand type elliptic problems with nonlinear Neumann boundary conditions ⋮ On the second solution to a critical growth Robin problem ⋮ Topics of stable solutions to elliptic equations

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