Regularity and multiplicity results for fractional (p,q)-Laplacian equations

DOI10.1142/S0219199719500652zbMath1448.35262arXiv1902.00395OpenAlexW2964168220WikidataQ127457137 ScholiaQ127457137MaRDI QIDQ5120334

Divya Goel, Deepak Kumar, Konijeti Sreenadh

Publication date: 10 September 2020

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.00395

zbMATH Keywords

regularityNehari manifolddoubly nonlocal equationfractional \((p,q)\)-Laplacian

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Global existence and asymptotic behavior of solutions to fractional ( p , q )-Laplacian equations, Unbalanced fractional elliptic problems with exponential nonlinearity: subcritical and critical cases, Discrete Picone inequalities and applications to non local and non homogenenous operators, Existence of solutions for the fractional \((p, q)\)-Laplacian problems involving a critical Sobolev exponent, A note on the global regularity results for strongly nonhomogeneous \(p,q\)-fractional problems and applications, Multiplicity and concentration of positive solutions for fractional unbalanced double-phase problems, Existence of solutions for fractional p&q-Laplacian system involving critical sandwich-type nonlinearities, Solutions of a \((p, q)\)-Laplacian equation involving a super-linear and a singular terms, Harnack inequality for nonlocal problems with non-standard growth, An existence result for a fractional critical \((p, q)\)-Laplacian problem with discontinuous nonlinearity, Harnack inequality for the nonlocal equations with general growth, Extremal parameter for double phase problem with concave-convex nonlinearity, Multiple solutions for a singular problem involving the fractional \(p\)-\(q\)-Laplacian operator, Existence and stability of normalized solutions for nonlocal double phase problems, Fractional double phase Robin problem involving variable‐order exponents and logarithm‐type nonlinearity, Multiplicity of Solutions to a p-q Fractional Laplacian System with Concave Singular Nonlinearities, Interior and boundary regularity results for strongly nonhomogeneous \((p, q)\)-fractional problems, Fractional double-phase patterns: concentration and multiplicity of solutions, Algebraic topological techniques for elliptic problems involving fractional Laplacian, Unnamed Item, Critical Kirchhoff \(p(\cdot) \& q(\cdot)\)-fractional variable-order systems with variable exponent growth, Global regularity results for non-homogeneous growth fractional problems, A strong maximum principle for the fractional \(( p , q )\)-Laplacian operator, Regularity for nonlocal problems with non-standard growth, Existence of solutions for critical fractional p&q-Laplacian system, On fractional \((p, q)\)-Laplacian equations involving subcritical or critical Hardy exponents, Schrödinger p⋅–Laplace equations in RN involving indefinite weights and critical growth, Nodal solutions for double phase Kirchhoff problems with vanishing potentials, Multiplicity of solutions for a singular system involving the fractional \(p\)-\(q\)-Laplacian operator and sign-changing weight functions, A Kirchhoff type equation in \(\mathbb{R}^N\) Involving the fractional \((p, q)\)-Laplacian

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