On some semilinear elliptic equation involving exponential growth

DOI10.1016/j.aml.2014.03.004zbMath1318.35035OpenAlexW2034744863MaRDI QIDQ2349237

Sami Aouaoui

Publication date: 22 June 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2014.03.004

zbMATH Keywords

energy functionalmountain pass theoremcritical pointglobal minimumTrudinger-Moser inequalitycritical exponential growth

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Semilinear elliptic equations (35J61)

Related Items (6)

Singular Adams inequality for biharmonic operator on Heisenberg group and its applications ⋮ Sign-changing solutions for quasilinear elliptic equation with critical exponential growth ⋮ Sign-changing solutions to a \(N\)-Kirchhoff equation with critical exponential growth in \(\mathbb{R}^N\) ⋮ Multiple solutions for a class of fractional quasi-linear equations with critical exponential growth in ℝ^N ⋮ Multiple solutions for \(N\)-Kirchhoff type problems with critical exponential growth in \(\mathbb{R}^N\) ⋮ A weighted Trudinger-Moser type inequality and its applications to quasilinear elliptic problems with critical growth in the whole Euclidean space

Cites Work

• Nonlinear scalar field equations. I: Existence of a ground state
• A nonhomogeneous elliptic problem involving critical growth in dimension two
• On a quasilinear nonhomogeneous elliptic equation with critical growth in \(\mathbb R^N\)
• Quasilinear elliptic equations involving the \(N\)-Laplacian with critical exponential growth in \(\mathbb R^N\)
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
• \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
• Semilinear Dirichlet problems for the \(N\)-Laplacian in \(\mathbb{R}^ N\) with nonlinearities in the critical growth range
• Dual variational methods in critical point theory and applications
• Multiplicity of positive solutions for a class of problems with exponential critical growth in \(\mathbb R^2\)
• Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
• N-Laplacian Equations in ℝ^N with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition
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