Existence of nonnegative viscosity solutions for a class of problems involving the \(\infty\)-Laplacian

DOI10.1007/s00030-016-0373-2zbMath1338.35104OpenAlexW2320470150MaRDI QIDQ282628

Mihai Mihăilescu, Marian F. Bocea

Publication date: 12 May 2016

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-016-0373-2

zbMATH Keywords

Nehari manifoldperturbed eigenvalue problems

Mathematics Subject Classification ID

Variational inequalities (49J40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Methods involving semicontinuity and convergence; relaxation (49J45) Variational methods for second-order elliptic equations (35J20) Viscosity solutions to PDEs (35D40) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (8)

A perturbed eigenvalue problem in exterior domain ⋮ Perturbed fractional eigenvalue problems ⋮ A relaxation result in the vectorial setting and power law approximation for supremal functionals ⋮ The Gelfand problem for the infinity Laplacian ⋮ An eigenvalue problem involving an anisotropic differential operator ⋮ On the behavior of least energy solutions of a fractional ( p , q ( p ) )-Laplacian problem as p goes to infinity ⋮ Asymptotic behaviour asp→ ∞ of least energy solutions of a (p, q(p))-Laplacian problem ⋮ The limiting behavior of constrained minimizers in Orlicz-Sobolev spaces

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