One-dimensional symmetry for semilinear equations with unbounded drift

DOI10.3934/cpaa.2013.12.2203zbMath1268.35060OpenAlexW2008050301MaRDI QIDQ1948438

Annalisa Cesaroni, Andrea Pinamonti, Matteo Novaga

Publication date: 6 May 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/fc65915f4bf2221a3afe0ac97f46d9f78ff1e5a7

zbMATH Keywords

energy estimatesPoincaré-type inequalityLiouville theoremssemilinear elliptic PDEsOrnstein-Uhlenbeck type operatorssymmetry and monotonicity properties of solutions

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (4)

Rigidity results in diffusion Markov triples ⋮ A symmetry result for degenerate elliptic equations on the Wiener space with nonlinear boundary conditions and applications ⋮ Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature ⋮ Symmetry results for nonlinear elliptic operators with unbounded drift

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