On some elliptic equation in the whole Euclidean space \(\mathbb{R}^2\) with nonlinearities having new exponential growth condition

DOI10.3934/cpaa.2020211zbMath1464.35118OpenAlexW3046978678MaRDI QIDQ2658653

Sami Aouaoui, Rahma Jlel

Publication date: 23 March 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2020211

zbMATH Keywords

semilinear elliptic equationTrudinger-Moser inequalitynonlinearity with doubly exponential growth at infinity

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Related Items (2)

New weighted sharp Trudinger-Moser inequalities defined on the whole euclidean space \(\mathbb{R}^N\) and applications ⋮ Singular weighted sharp Trudinger-Moser inequalities defined on \(\mathbb{R}^N\) and applications to elliptic nonlinear equations

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