Existence and uniqueness of positive solutions for a class of logistic type elliptic equations in \(\mathbb{R}^N\) involving fractional Laplacian

DOI10.3934/DCDS.2017113zbMath1365.35220arXiv1511.03510OpenAlexW2962921925MaRDI QIDQ514019

Alexander Quaas, Aliang Xia

Publication date: 8 March 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03510

zbMATH Keywords

uniquenesscomparison principleblow-up solutionfractional Laplacian

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Integro-differential operators (47G20) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (3)

On the logistic equation for the fractional p‐Laplacian ⋮ Symmetry and nonexistence of positive solutions to fractional \(p\)-Laplacian equations ⋮ Stability of Positive Solution to Fractional Logistic Equations

Cites Work

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• LOGISTIC TYPE EQUATIONS ON ℝ^N BY A SQUEEZING METHOD INVOLVING BOUNDARY BLOW-UP SOLUTIONS
• Regularity theory for fully nonlinear integro-differential equations
• User’s guide to viscosity solutions of second order partial differential equations
• On the Dirichlet problem for second-order elliptic integro-differential equations

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