On supercritical problems involving the Laplace operator

DOI10.1017/prm.2020.9zbMath1459.35211OpenAlexW3007283244MaRDI QIDQ4965410

Pedro Ubilla, Rodrigo Clemente, João Marcos Bezerra do Ó

Publication date: 1 March 2021

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/prm.2020.9

zbMATH Keywords

existencenonexistenceDirichlet conditionsemilinear equations with Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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