On a singular elliptic problem involving critical growth in \({\mathbb{R}^{\text N}}\)

DOI10.1007/s00030-010-0091-0zbMath1216.35071OpenAlexW2005896631MaRDI QIDQ533631

Manassés de Souza

Publication date: 4 May 2011

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-010-0091-0

zbMATH Keywords

critical growthTrudinger-Moser inequalitymountain-pass theorem

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 (13)

Infinitely many solutions for quasilinear Schrödinger equation with critical exponential growth in \(\mathbb{R}^N\) ⋮ Singular Adams inequality for biharmonic operator on Heisenberg group and its applications ⋮ Existence and multiplicity of solutions to N-Kirchhoff equations with critical exponential growth and a perturbation term ⋮ Existence of solutions for fractional-Choquard equation with a critical exponential growth in \(\mathbb{R}^N\) ⋮ On singular Trudinger-Moser type inequalities for unbounded domains and their best exponents ⋮ Nonlinear elliptic equations in dimension two with potentials which can vanish at infinity ⋮ Infinitely many solutions for \(N\)-Kirchhoff equation with critical exponential growth in \({\mathbb {R}}^N\) ⋮ On a class of singular Trudinger-Moser type inequalities for unbounded domains in \(\mathbb R^n\) ⋮ On a class of nonhomogeneous elliptic equation on compact Riemannian manifold without boundary ⋮ Critical points for a functional involving critical growth of Trudinger-Moser type ⋮ On a weighted Adachi-Tanaka type Trudinger-Moser inequality in nonradial Sobolev spaces ⋮ Infinitely many solutions to a class of \(p\)-Laplace equations ⋮ Multiple solutions for a class of quasilinear Schrödinger equations in ℝN

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