Two disjoint and infinite sets of solutions for a concave-convex critical fractional Laplacian equation

DOI10.1007/S13540-022-00060-0zbMath1503.35258OpenAlexW4283707068WikidataQ114016986 ScholiaQ114016986MaRDI QIDQ2110543

Rachid Echarghaoui, Mohamed Masmodi

Publication date: 21 December 2022

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13540-022-00060-0

zbMATH Keywords

compactnessFountain theoremfractional Laplacianinfinitely many solutionsconcave-convex nonlinearitiescritical elliptic problem

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Nonlinear elliptic equations (35J60) Methods involving semicontinuity and convergence; relaxation (49J45) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Related Items (3)

Concave-convex critical problems for the spectral fractional Laplacian with mixed boundary conditions ⋮ Multiple positive solutions for a fractional \(p \& q\)-Laplacian system with concave and critical nonlinearities ⋮ Two disjoint and Infinite sets of solutions for a nonlocal problem involving a Hardy potential and critical growth with concave nonlinearities

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