Strong comparison principle for the fractional \(p\)-Laplacian and applications to starshaped rings

DOI10.1515/ANS-2017-6039zbMath1403.35064arXiv1706.01234OpenAlexW2963648544MaRDI QIDQ1632062

Sven Jarohs

Publication date: 12 December 2018

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01234

zbMATH Keywords

starshaped superlevel sets

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Quasilinear elliptic equations with (p)-Laplacian (35J92) Comparison principles in context of PDEs (35B51)

Related Items (18)

Four solutions for fractional \(p\)-Laplacian equations with asymmetric reactions ⋮ Equivalence of weak and viscosity solutions in fractional non-homogeneous problems ⋮ The Dirichlet problem for the \(p\)-fractional Laplace equation ⋮ Five solutions for the fractional \(p\)-Laplacian with noncoercive energy ⋮ Multiplicity and concentration of positive solutions for fractional unbalanced double-phase problems ⋮ Multiplicity results for a nonlocal fractional problem ⋮ On the fractional NLS equation and the effects of the potential Well's topology ⋮ On the logistic equation for the fractional p‐Laplacian ⋮ Fine boundary regularity for the degenerate fractional \(p\)-Laplacian ⋮ The multiplicity of solutions for the critical problem involving the fracional p-Laplacian operator ⋮ Some evaluations of the fractional \(p \)-Laplace operator on radial functions ⋮ Interior and boundary regularity results for strongly nonhomogeneous \((p, q)\)-fractional problems ⋮ Fractional double-phase patterns: concentration and multiplicity of solutions ⋮ Concentration of solutions for fractional double-phase problems: critical and supercritical cases ⋮ Extremal constant sign solutions and nodal solutions for the fractional \(p\)-Laplacian ⋮ Multiplicity of positive solutions for a fractional \(p\& q\)-Laplacian problem in \(\mathbb{R}^N\) ⋮ Sobolev versus Hölder minimizers for the degenerate fractional \(p\)-Laplacian ⋮ Nonlocal fractional system involving the fractional \(p, q\)-Laplacians and singular potentials

Cites Work

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• A strong comparison principle for the $p$-Laplacian
• Monotonicity and nonexistence results for some fractional elliptic problems in the half-space

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