Nonnegative solutions with a nontrivial nodal set for elliptic equations on smooth symmetric domains

DOI10.1090/S0002-9939-2014-11942-3zbMath1286.35109arXiv1205.1213OpenAlexW2066933064MaRDI QIDQ5401365

Peter Poláčik, Susanna Terracini

Publication date: 13 March 2014

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

Full work available at URL: https://arxiv.org/abs/1205.1213

zbMATH Keywords

nonnegative solutionssemilinear elliptic equationnodal setplanar domain

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Semilinear elliptic equations (35J61) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (5)

Asymptotic symmetry for a class of nonlinear fractional reaction-diffusion equations ⋮ On the multiplicity of nonnegative solutions with a nontrivial nodal set for elliptic equations on symmetric domains ⋮ Semilinear elliptic equations involving mixed local and nonlocal operators ⋮ Equilibria with a nontrivial nodal set and the dynamics of parabolic equations on symmetric domains ⋮ Symmetry via antisymmetric maximum principles in nonlocal problems of variable order

Cites Work

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