Positive solution for a class of nonlocal elliptic equations

DOI10.1016/J.AML.2018.08.019zbMath1411.35118OpenAlexW2888853170WikidataQ129310819 ScholiaQ129310819MaRDI QIDQ1726534

Xingqiu Zhang, Huiqin Lu

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.08.019

zbMATH Keywords

positive solutionfixed point index theorynonlocal elliptic equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09)

Related Items (4)

Ground state sign-changing solutions for fractional Laplacian equations with critical nonlinearity ⋮ Unnamed Item ⋮ Sign-changing and constant-sign solutions for elliptic problems involving nonlocal integro-differential operators ⋮ Ground state and nodal solutions for fractional Kirchhoff equation with pure critical growth nonlinearity

Cites Work

• Unnamed Item
• Unnamed Item
• The multiplicity of positive solutions for a class of nonlocal elliptic problem
• Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators
• Hitchhiker's guide to the fractional Sobolev spaces
• Mountain pass solutions for non-local elliptic operators
• Uniqueness of solution for higher-order fractional differential equations with conjugate type integral conditions
• Infinitely many positive solutions for a nonlocal problem
• Triple positive solutions for nonlocal fractional differential equations with singularities both on time and space variables
• Positive solution for \(-\Delta_ p u=f(x,u)\) with \(f(x,u)\) growing as \(u^{p-1}\) at infinity.
• Variational methods for non-local operators of elliptic type
• The Brezis-Nirenberg result for the fractional Laplacian
• Symmetry via antisymmetric maximum principles in nonlocal problems of variable order

This page was built for publication: Positive solution for a class of nonlocal elliptic equations