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

DOI10.1016/J.NONRWA.2022.103779zbMath1506.35094OpenAlexW4307441769MaRDI QIDQ2112596

Hossein Tehrani, David Goldstein Costa

Publication date: 11 January 2023

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2022.103779

zbMATH Keywords

functionalscritical nonlinearitiesradially symmetric semilinear equation with Laplacian

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

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• Elliptic equations and systems with critical Trudinger-Moser nonlinearities
• Existence of a ground state solution for a nonlinear scalar field equation with critical growth
• Characteristic values associated with a class of nonlinear second-order differential equations
• A nonhomogeneous elliptic problem involving critical growth in dimension two
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• Multiplicity results for semilinear heterogeneous problems in exterior domains of \(\mathbb{R}^2\) involving subcritical or critical nonlinearities à la Trudinger-Moser
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Existence and non‐existence of radial solutions for elliptic equations with critical exponent in ℝ²
• Critical exponent problem in \(\mathbb{R}^ 2\)-border-line between existence and non-existence of positive solutions for Dirichlet problem.

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