Extremal solutions of logistic-type equations in exterior domain in \(\mathbb{R}^2\)

DOI10.1016/j.na.2018.07.005zbMath1401.35115OpenAlexW2885932419MaRDI QIDQ1791732

Siegfried Carl, Hossein Tehrani, David Goldstein Costa

Publication date: 11 October 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.07.005

zbMATH Keywords

exterior domainlogistic-type equationHopf-type lemma

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (7)

Multi-valued variational inequalities in unbounded domains: existence, comparison and extremal solutions ⋮ Invariance of critical points under Kelvin transform and multiple solutions in exterior domains of \(\mathbb {R}^2\) ⋮ On the Existence of Optimal Potentials on Unbounded Domains ⋮ Extremal solutions of multi-valued variational inequalities in plane exterior domains ⋮ 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 semilinear problems in an exterior domain of \(\mathbb{R}^2\) ⋮ On variational inequalities on exterior domains with multivalued convection terms

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