Patterns with prescribed numbers of critical points on topological tori

DOI10.1080/17476933.2021.1924157zbMath1496.35060arXiv2009.13035OpenAlexW3169643394MaRDI QIDQ5102312

Shigeru Sakaguchi, Putri Zahra Kamalia

Publication date: 6 September 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.13035

zbMATH Keywords

critical pointsemilinear elliptic equationreaction-diffusion equationstable solutionstandard torus

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Elliptic equations on manifolds, general theory (58J05) Perturbations in context of PDEs (35B20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Semilinear elliptic equations (35J61) Semilinear parabolic equations (35K58)

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