A strong maximum principle for the fractional \(( p , q )\)-Laplacian operator

DOI10.1016/j.aml.2021.107813zbMath1484.35099OpenAlexW3216142644MaRDI QIDQ2077057

Vincenzo Ambrosio

Publication date: 22 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107813

zbMATH Keywords

fractional Sobolev spacesstrong maximum principlefractional operators

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (5)

Multiplicity and concentration of positive solutions for fractional unbalanced double-phase problems ⋮ Fractional \((p, q)\)-Schrödinger equations with critical and supercritical growth ⋮ A note on Hopf's lemma and strong minimum principle for nonlocal equations with non-standard growth ⋮ A strong maximum principle for mixed local and nonlocal p-Laplace equations ⋮ A Kirchhoff type equation in \(\mathbb{R}^N\) Involving the fractional \((p, q)\)-Laplacian

Cites Work

• Local behavior of fractional \(p\)-minimizers
• Hitchhiker's guide to the fractional Sobolev spaces
• Convexity properties of Dirichlet integrals and Picone-type inequalities
• A Hopf's lemma and a strong minimum principle for the fractional \(p\)-Laplacian
• The Dirichlet problem for the \(p\)-fractional Laplace equation
• Hölder regularity for nonlocal double phase equations
• Multiplicity and concentration results for some nonlinear Schrödinger equations with the fractional \(p\)-Laplacian
• Spectrum of the fractional \(p\)-Laplacian in \(\mathbb{R}^N\) and decay estimate for positive solutions of a Schrödinger equation
• Multiplicity results for \((p,q)\) fractional elliptic equations involving critical nonlinearities
• Multiplicity of positive solutions for a fractional \(p\& q\)-Laplacian problem in \(\mathbb{R}^N\)
• Fractional \(p \& q\) Laplacian problems in \(\mathbb{R}^N\) with critical growth
• Fractional double-phase patterns: concentration and multiplicity of solutions
• Equivalence of solutions to fractional \(p\)-Laplace type equations
• A Nonlocalp-Laplacian Evolution Equation with Nonhomogeneous Dirichlet Boundary Conditions
• Variational Methods for Nonlocal Fractional Problems
• Fractional p&q-Laplacian problems with potentials vanishing at infinity
• Regularity and multiplicity results for fractional (p,q)-Laplacian equations
• Nonlinear Fractional Schrödinger Equations in R^N
• Isotropic and anisotropic double-phase problems: old and new

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