Two solutions for fractional elliptic systems

DOI10.1007/s10440-022-00476-zzbMath1481.35373OpenAlexW4214744647MaRDI QIDQ2115240

Narimane Aissaoui, Benniao Li, Wei Long

Publication date: 15 March 2022

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-022-00476-z

zbMATH Keywords

multiplicitycritical exponentfractional Laplacian

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Ground states for a system of Schrödinger equations with critical exponent
• Hitchhiker's guide to the fractional Sobolev spaces
• On the positive vector solutions for nonlinear fractional Laplacian systems with linear coupling
• Multiple positive solutions for linearly coupled nonlinear elliptic systems with critical exponent
• On coupled systems of Schrödinger equations
• Infinitely many solutions for \(p\)-Laplacian equation involving critical Sobolev growth
• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• Solitons of linearly coupled systems of semilinear non-autonomous equations on \(\mathbb R^{n}\)
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Infinitely many solutions for an elliptic problem involving critical Sobolev growth and Hardy potential
• Remarks on some systems of nonlinear Schrödinger equations
• An existence result for nonliner elliptic problems involving critical Sobolev exponent
• Concentration estimates and multiple solutions to elliptic problems at critical growth
• Fractional quantum mechanics and Lévy path integrals
• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• Best constants for Sobolev inequalities for higher order fractional derivatives
• A Brezis-Nirenberg result for non-local critical equations in low dimension
• The fractional Brezis-Nirenberg problems on lower dimensions
• Existence of positive solutions for a class of critical fractional Schrödinger-Poisson system with potential vanishing at infinity
• Equations involving fractional Laplacian operator: compactness and application
• The Brezis-Nirenberg problem for nonlocal systems
• Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations
• On linearly coupled Schrödinger systems
• A concave—convex elliptic problem involving the fractional Laplacian
• Segregated vector solutions for linearly coupled nonlinear Schrodinger systems
• Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• An Extension Problem Related to the Fractional Laplacian
• The Brezis-Nirenberg result for the fractional Laplacian

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