Symmetry results for stable and monotone solutions to fibered systems of PDEs
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Publication:5264562
DOI10.1142/S0219199714500357zbMath1321.35043arXiv1212.0408MaRDI QIDQ5264562
Andrea Pinamonti, Serena Dipierro
Publication date: 27 July 2015
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.0408
phase separationPoincaré-type inequalityelliptic systemsmonotone solutionsstable solutionsfibered media
Degenerate elliptic equations (35J70) Variational methods for elliptic systems (35J50) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (7)
Rigidity results in diffusion Markov triples ⋮ A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian ⋮ Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature ⋮ Stable solutions of symmetric systems on Riemannian manifolds ⋮ A radial symmetry and Liouville theorem for systems involving fractional Laplacian ⋮ Monotonicity and rigidity of solutions to some elliptic systems with uniform limits ⋮ ON STRONGLY INDEFINITE SYSTEMS INVOLVING FRACTIONAL ELLIPTIC OPERATORS
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