A note on the existence and multiplicity of solutions for sublinear fractional problems

DOI10.1186/s13661-017-0903-9zbMath1378.35323OpenAlexW2768469601WikidataQ59527481 ScholiaQ59527481MaRDI QIDQ1689753

Yongqiang Fu

Publication date: 17 January 2018

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0903-9

zbMATH Keywords

multiple solutionsvariational methodfractional \(p\)-Laplacian problem

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Cites Work

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• Nonlocal diffusion and applications
• Existence results for fractional \(p\)-Laplacian problems via Morse theory
• Local behavior of fractional \(p\)-minimizers
• Hitchhiker's guide to the fractional Sobolev spaces
• Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
• Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
• Global Hölder regularity for the fractional \(p\)-Laplacian
• A Hopf's lemma and a strong minimum principle for the fractional \(p\)-Laplacian
• Bifurcation results for a fractional elliptic equation with critical exponent in \(\mathbb {R}^n\)
• Mountain pass solutions for non-local elliptic operators
• Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
• On a superlinear elliptic \(p\)-Laplacian equation.
• Minimax theorems
• Variational methods for non-local operators of elliptic type
• Existence of solutions for a bi-nonlocal fractional \(p\)-Kirchhoff type problem
• Location and critical groups of critical points in Banach spaces with an application to nonlinear eigenvalue problems
• Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
• MULTIPLE SIGN CHANGING SOLUTIONS OF A QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM INVOLVING THE p-LAPLACIAN
• Multiplicity existence for sublinear fractional Laplacian problems

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