Entire bounded solutions for a class of sublinear elliptic equations

DOI10.1016/j.na.2004.01.004zbMath1096.35045OpenAlexW1990689844MaRDI QIDQ1877867

Khalifa El Mabrouk

Publication date: 19 August 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.01.004

zbMATH Keywords

Green functionGreen domainSublinear Dirichlet problemThickness and thinness at \(\infty\)

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Related Items (19)

Existence and asymptotic behaviour of entire large solutions for \(k\)-Hessian equations ⋮ Large and entire large solutions for a class of nonlinear problems ⋮ Positive solutions to singular semilinear elliptic problems ⋮ Entire solutions to sublinear elliptic problems on harmonic \textit{NA} groups and Euclidean spaces ⋮ Nonradial large solutions of sublinear elliptic problems ⋮ Positive solutions to sublinear elliptic problems ⋮ Large versus bounded solutions to sublinear elliptic problems ⋮ Large solutions of mixed sublinear/superlinear elliptic equations ⋮ Entire bounded solutions for a class of quasilinear elliptic equations ⋮ Nonnegative entire bounded solutions to some semilinear equations involving the fractional Laplacian ⋮ Characterization for the existence of bounded solutions to elliptic equations ⋮ Nonradial large solutions for a class of nonlinear problems ⋮ Bounded solutions for a class of semilinear equations on the Heisenberg group ⋮ On Ground State Solutions to Mixed Type Singular Semi-Linear Elliptic Equations ⋮ Entire solutions of sublinear elliptic equations in anisotropic media ⋮ Ground state solutions for singular quasilinear elliptic equations ⋮ Ground state solutions for singular semi-linear elliptic equations ⋮ Sublinear elliptic problems under radiality. Harmonic \textit{NA} groups and Euclidean spaces ⋮ Unnamed Item

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• Large solutions of sublinear elliptic equations
• Brownian motion and harnack inequality for Schrödinger operators
• Potential theory for infinitely divisible processes on Abelian groups

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