Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
type: Item
instance of: scholarly article
title: Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
zbMATH Open document ID: 1305.35069
author: Guozhen Lu
author: Nguyen Lam
published in: The Journal of Geometric Analysis
publication date: 2014-11-18T00:00:00Z
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35B38
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35B33
zbMATH DE Number: 6370381
zbMATH Keywords: mountain pass theorem
zbMATH Keywords: critical point theory
zbMATH Keywords: Ambrosetti-Rabinowitz condition
zbMATH Keywords: Moser-Trudinger inequality
zbMATH Keywords: subcritical and critical exponential growth
MaRDI profile type: Publication
full work available at URL: s12220-012-9330-4
OpenAlex ID: W1987118387
cites work: Q3359113
cites work: Blow-up Analysis in Dimension 2 and a Sharp Form of Trudinger–Moser Inequality
cites work: Failure of Palais-Smale condition and blow-up analysis for the critical exponent problem in \(\mathbb{R}^2\)
cites work: Q3359114
cites work: Dual variational methods in critical point theory and applications
cites work: Emden-Fowler equations involving critical exponents
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
cites work: Q3756181
cites work: Q3999077
cites work: The inequality of Moser and Trudinger and applications to conformal geometry
cites work: Q3876715
cites work: Sull'esistenza di autovalori per un problema al contorno non lineare
cites work: Variational elliptic problems which are nonquadratic at infinity
cites work: Q3645667
cites work: On an inequality by N. Trudinger and J. Moser and related elliptic equations
cites work: Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
cites work: Critical and subcritical elliptic systems in dimension two
cites work: A quasilinear problem without the Ambrosetti–Rabinowitz-type condition
cites work: On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
cites work: Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\)
cites work: N-Laplacian Equations in ℝN with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition
cites work: Existence of nontrivial solutions to polyharmonic equations with subcritical and critical exponential growth
cites work: Q5500028
cites work: Moser-Trudinger inequality on compact Riemannian manifolds of dimension two
cites work: A Moser-Trudinger inequality on the boundary of a compact Riemann surface
cites work: Moser-Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2
cites work: On the Ambrosetti-Rabinowitz Superlinear Condition
cites work: Ground states of nonlinear Schrödinger equations with potentials
cites work: Sharp constant and extremal function for the improved Moser-Trudinger inequality involving \(L^p\) norm in two dimension
cites work: A sharpened Moser-Pohozaev-Trudinger inequality with mean value zero in \(\mathbb R^2\)
cites work: Superlinear problems without Ambrosetti and Rabinowitz growth condition
cites work: Semilinear Dirichlet problems for the \(N\)-Laplacian in \(\mathbb{R}^ N\) with nonlinearities in the critical growth range
cites work: On a quasilinear nonhomogeneous elliptic equation with critical growth in \(\mathbb R^N\)
cites work: Pairs of positive solutions for \(p\)-Laplacian equations with sublinear and superlinear nonlinearities which do not satisfy the AR-condition
cites work: Q3749777
cites work: A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
cites work: Superlinear problems
cites work: Eigenfunctions of the nonlinear equation \(\Delta u+vf(x,u)=0\) in \(R^ 2\)
cites work: Q4386478
cites work: Homoclinic orbits for asymptotically linear Hamiltonian systems
cites work: Q5547919
cites work: On a Schrodinger equation with periodic potential and spectrum point zero
cites work: Positive solution for a semilinear elliptic equation which is almost linear at infinity
DOI: 10.1007/S12220-012-9330-4
description: scientific article; zbMATH DE number 6370381