Existence results of positive solutions for nonlinear cooperative elliptic systems involving fractional Laplacian

DOI10.1142/S0219199717500328zbMath1390.35089arXiv1511.03066MaRDI QIDQ4608186

Aliang Xia, Alexander Quaas

Publication date: 16 March 2018

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03066

zbMATH Keywords

nonlinear elliptic systemfractional Laplacianexistence resultgradient term

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Integro-differential operators (47G20)

Related Items (10)

Symmetry of components and Liouville-type theorems for semilinear elliptic systems involving the fractional Laplacian ⋮ Nonlinear fractional elliptic systems with boundary measure data: existence and a priori estimates ⋮ A priori bounds and the existence of positive solutions for weighted fractional systems ⋮ On positive supersolutions of fractional elliptic equations with gradient terms ⋮ Existence of solution for a nonlinear fractional elliptic system at resonance and nonresonance ⋮ Liouville type theorems for fractional parabolic problems ⋮ A priori bounds and existence result of positive solutions for fractional Laplacian systems ⋮ On the existence and multiplicity of solutions to fractional Lane-Emden elliptic systems involving measures ⋮ Vector solutions with clustered peaks for nonlinear fractional Schrödinger systems in \(\mathbb {R}^{N}\) ⋮ Unnamed Item

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