Existence theorems for quasilinear elliptic eigenvalue problems in unbounded domains

zbMath1260.35085MaRDI QIDQ1940048

Patrizia Pucci, Csaba Varga, Giuseppina Autuori

Publication date: 5 March 2013

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ade/1355867480

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

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Robin problems with a general potential and a superlinear reaction ⋮ Existence of entire solutions for Schrödinger-Hardy systems involving two fractional operators ⋮ Schrödinger-Hardy systems involving two Laplacian operators in the Heisenberg group ⋮ Schrödinger-Kirchhoff-Hardy \(p \)-fractional equations without the Ambrosetti-Rabinowitz condition ⋮ Nonlinear, nonhomogeneous Robin problems with indefinite potential and general reaction ⋮ Positive solutions for nonlinear nonhomogeneous Robin problems ⋮ On a Hardy–Sobolev-type inequality and applications ⋮ An existence result for a class of quasilinear elliptic eigenvalue problems in unbounded domains ⋮ Quasilinear equation with critical exponential growth in the zero mass case ⋮ Existence theorems for fractional p-Laplacian problems ⋮ A sharp Hardy-Sobolev inequality with boundary term and applications

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