Nontrivial solutions of some fractional problems

DOI10.1016/j.nonrwa.2017.04.009zbMath1379.35345OpenAlexW2617850882MaRDI QIDQ2410667

Nguyen Van Thin

Publication date: 18 October 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.04.009

zbMATH Keywords

fractional LaplacianFountain Theoremintegrodifferential operators

Mathematics Subject Classification ID

Fractional partial differential equations (35R11)

Related Items (7)

Superlinear Kirchhoff-type problems of the fractional \(p\)-Laplacian without the (AR) condition ⋮ Existence of solutions to Kirchhoff type equations involving the nonlocal p₁& … &p_m fractional Laplacian with critical Sobolev-Hardy exponent ⋮ Two disjoint and Infinite sets of solutions for a nonlocal problem involving a Hardy potential and critical growth with concave nonlinearities ⋮ Infinitely many solutions for a superlinear fractional \(p\)-Kirchhoff-type problem without the (AR) condition ⋮ Existence and Hölder regularity of infinitely many solutions to a \(p\)-Kirchhoff-type problem involving a singular nonlinearity without the Ambrosetti-Rabinowitz (AR) condition ⋮ On multiplicity solutions for a non-local fractional p-Laplace equation ⋮ Two disjoint and infinite sets of solutions for a concave-convex critical fractional Laplacian equation

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