Asymptotic behavior of solutions of elliptic equations. I: Liouville-type theorems for linear and nonlinear equations on \(R^ n\).

DOI10.1007/BF02803331zbMath0477.35039MaRDI QIDQ1160815

Leon Karp

Publication date: 1981

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

quasilinear elliptic equationsLiouville's theorem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Partial differential inequalities and systems of partial differential inequalities (35R45) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Rigidity results for stable solutions of symmetric systems ⋮ Solutions of multi-component fractional symmetric systems ⋮ Subharmonic functions on real and complex manifolds ⋮ Asymptotic behavior of solutions of elliptic equations. II: Analogues of Liouville's theorem for solutions of inequalities on \(R^ n\), \(n\geq 3\) ⋮ A sharp \(L^q\)-Liouville theorem for \(p\)-harmonic functions ⋮ New Liouville theorems for linear second order degenerate elliptic equations in divergence form. ⋮ A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities ⋮ Symmetry Results for Fractional Elliptic Systems and Related Problems

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