Second-order semilinear elliptic inequalities in exterior domains.

DOI10.1016/S0022-0396(02)00036-0zbMath1247.35041MaRDI QIDQ1864666

Zeev Sobol, Vitali Liskevich, Vladimir Kondratiev

Publication date: 18 March 2003

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

zbMATH Keywords

critical exponentexistence and nonexistence of positive weak solutionsSemilinear elliptic equations and inequalities

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Weak solutions to PDEs (35D30) Semilinear elliptic equations (35J61)

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Cites Work

• On positive solutions of Emden equations in cone-like domains
• Absorption semigroups, their generators, and Schrödinger semigroups
• Sublinear elliptic equations in \(\mathbb{R}{}^ n\)
• A Liouville property for Schrödinger operators
• On the existence of a positive solution of semilinear elliptic equations in unbounded domains
• An optimal parabolic estimate and its applications in prescribing scalar curvature on some open manifolds with Ricci \(\geq 0\)
• On positive Liouville theorems and asymptotic behavior of solutions of Fuchsian type elliptic operators
• On Harnack's theorem for elliptic differential equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• An Exterior Dirichlet Problem with Applications to Some Nonlinear Equations Arising in Geometry
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