Existence of multiple solutions for a class non-uniformly elliptic equations with critical exponential growth

DOI10.1007/S41980-018-0033-XzbMath1409.35072OpenAlexW2808651385WikidataQ115600294 ScholiaQ115600294MaRDI QIDQ1734051

Xianqiang Yang

Publication date: 22 March 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-018-0033-x

zbMATH Keywords

variational methodlocal minimaTrudinger-Moser inequality\(N\)-Laplaciancritical exponential growth

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Cites Work

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• A critical point theorem via the Ekeland variational principle
• Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space
• Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\)
• Nonlinear scalar field equations. I: Existence of a ground state
• On a quasilinear nonhomogeneous elliptic equation with critical growth in \(\mathbb R^N\)
• \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth

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