Critical points for a functional involving critical growth of Trudinger-Moser type

DOI10.1007/s11118-014-9431-8zbMath1325.35060OpenAlexW2073832090MaRDI QIDQ2512914

Everaldo S. de Medeiros, João Marcos Bezerra do Ó, Uberlandio B. Severo, Manassés de Souza

Publication date: 2 February 2015

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-014-9431-8

zbMATH Keywords

critical pointsconcentration-compactness principleTrudinger-Moser inequalityleast energy solution

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75)

Related Items (8)

Singular Adams inequality for biharmonic operator on Heisenberg group and its applications ⋮ Extremal Functions for an Improved Trudinger-Moser Inequality Involving $L^p$-Norm in $\mathbb{R}^n$ ⋮ Existence of solutions for fractional-Choquard equation with a critical exponential growth in \(\mathbb{R}^N\) ⋮ Extremal functions for sharp Moser-Trudinger type inequalities in the whole space \(\mathbb{R}^N\) ⋮ Infinitely many solutions for \(N\)-Kirchhoff equation with critical exponential growth in \({\mathbb {R}}^N\) ⋮ Kirchhoff–Schrödinger equations in ℝ2 with critical exponential growth and indefinite potential ⋮ Ground state solution and multiple solutions to elliptic equations with exponential growth and singular term ⋮ The ground state solutions for Kirchhoff-Schrödinger type equations with singular exponential nonlinearities in \(\mathbb{R}^N\)

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