Positive super-solutions to semi-linear second-order non-divergence type elliptic equations in exterior domains

DOI10.1090/S0002-9947-08-04453-XzbMath1155.35031OpenAlexW2052857021MaRDI QIDQ3605841

Zeev Sobol, Vitali Liskevich, Vladimir Kondratiev

Publication date: 25 February 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-08-04453-x

zbMATH Keywords

critical exponentsnon-divergence semi-linear equation

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (15)

On the Liouville property for fully nonlinear equations with superlinear first-order terms ⋮ Classification of supersolutions and Liouville theorems for some nonlinear elliptic problems ⋮ Positive solutions to nonlinear \(p\)-Laplace equations with Hardy potential in exterior domains ⋮ Vladimir Alexandrovich Kondratiev. July 2, 1935--March 11, 2010 ⋮ Nonexistence of positive supersolutions to some nonlinear elliptic problems ⋮ Nonexistence results for elliptic equations with gradient terms ⋮ Vladimir Aleksandrovich Kondrat'ev ⋮ Liouville type theorems for elliptic equations with gradient terms ⋮ Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls ⋮ SINGULAR SOLUTIONS TO THE HEAT EQUATIONS WITH NONLINEAR ABSORPTION AND HARDY POTENTIALS ⋮ Semilinear elliptic equations for the fractional Laplacian with Hardy potential ⋮ Estimates for Emden-Fowler type inequalities with absorption term ⋮ A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities ⋮ Explicit subsolutions and a Liouville theorem for fully nonlinear uniformly elliptic inequalities in halfspaces ⋮ Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle

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