Extremal and sign-changing solutions of supercritical logistic-type equations in \(\mathbb {R}^N\)

DOI10.1007/s00526-015-0934-yzbMath1335.35031OpenAlexW1827462464MaRDI QIDQ5963603

Hossein Tehrani, Siegfried Carl, David Goldstein Costa

Publication date: 22 February 2016

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-015-0934-y

zbMATH Keywords

variational methodsconstant-sign solutionslogistic-type equationsign-changing (weak) solutions

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (7)

Extremal solutions of \(p\)-Laplacian problems in \(D^{1, p}(\mathbb{R}^N)\) via Wolff potential estimates ⋮ \(\mathcal{D}^{1,2}(\mathbb{R}^N)\) versus \(C(\mathbb{R}^N)\) local minimizer and a Hopf-type maximum principle ⋮ \(\mathcal{D}^{1,2}(\mathbb{R}^N)\) versus \(C(\mathbb{R}^N)\) local minimizer on manifolds and multiple solutions for zero-mass equations in \(\mathbb{R}^N\) ⋮ Decay estimates for Wolff potentials in \(\mathbb{R}^N\) and gradient-dependent quasilinear elliptic equations ⋮ Multiple positive solutions to a class of modified nonlinear Schrödinger equation in a high dimension ⋮ Invariance of critical points under Kelvin transform and multiple solutions in exterior domains of \(\mathbb {R}^2\) ⋮ Extremal solutions of logistic-type equations in exterior domain in \(\mathbb{R}^2\)

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