On periodic and compactly supported least energy solutions to semilinear elliptic equations with non-Lipschitz nonlinearity
DOI10.3233/asy-231878arXiv2202.12522MaRDI QIDQ6124903
Yavdat Sh. Il'yasov, Deepak Kumar, Jacques Giacomoni
Publication date: 10 April 2024
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.12522
periodic solutionssemilinear elliptic equationnon-Lipschitz nonlinearityPohozaev identitycompactly supported solutionsgeneralized Rayleigh's quotients
PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Semilinear elliptic equations (35J61) Integro-partial differential equations (35R09)
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