Analysis of positive weak solutions for a class of fractional Laplacian elliptic systems of type Kirchhoff

DOI10.1007/S44198-024-00165-5MaRDI QIDQ6152175

Rafik Guefaifia, Ali Allahem, Mohamed Biomy, Rashid Jan, Salah Mahmoud Boulaaras

Publication date: 12 February 2024

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

positive solutionspartial differential equationssub-supersolutionfractional Laplacian systemsmathematical operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Weak solutions to PDEs (35D30) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

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• On a \(p\)-Kirchhoff equation via Krasnoselskii's genus
• Existence Results for an Elliptic Equation of Kirchhoff-Type with Changing Sign Data
• Variational Methods for Nonlocal Fractional Problems
• Existence of positive weak solutions for a class of Kirrchoff elliptic systems with multiple parameters
• Existence of Positive Solutions for a Class of Kirrchoff Elliptic Systems with Right Hand Side Defined as a Multiplication of Two Separate Functions
• Existence and multiplicity of positive solutions for the fractional Laplacian under subcritical or critical growth
• Some existence results for an elliptic equation of Kirchhoff‐type with changing sign data and a logarithmic nonlinearity
• Nonlocal equations in bounded domains: a survey

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