Multiplicity results for semilinear heterogeneous problems in exterior domains of \(\mathbb{R}^2\) involving subcritical or critical nonlinearities à la Trudinger-Moser

DOI10.1016/j.jmaa.2022.125987zbMath1484.35234OpenAlexW4205764089MaRDI QIDQ2075173

Yanyan Li

Publication date: 14 February 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.125987

zbMATH Keywords

Dirichlet problemexistenceexterior domainsemilinear equation with Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items

On heterogeneous radially symmetric semilinear elliptic equations with critical nonlinearities in \(\mathbb{R}^2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a superlinear elliptic equation
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• Extremal solutions of logistic-type equations in exterior domain in \(\mathbb{R}^2\)
• Semilinear Dirichlet problems for the \(N\)-Laplacian in \(\mathbb{R}^ N\) with nonlinearities in the critical growth range
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Boundary regularity for solutions of degenerate elliptic equations
• On the Ambrosetti-Rabinowitz Superlinear Condition
• Critical and subcritical elliptic systems in dimension two
• Existence and non‐existence of radial solutions for elliptic equations with critical exponent in ℝ²
• H1 Versus C1 local minimizers on manifolds
• Critical exponent problem in \(\mathbb{R}^ 2\)-border-line between existence and non-existence of positive solutions for Dirichlet problem.