A perturbed fractional p-Kirchhoff problem with critical nonlinearity

DOI10.3233/asy-221809zbMath1528.35187OpenAlexW4300981355MaRDI QIDQ6105408

Simone Secchi, Luigi Appolloni, Alessio Fiscella

Publication date: 26 June 2023

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-221809

zbMATH Keywords

critical growthfractional \(p\)-Kirchhoff equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Vibrations in dynamical problems in solid mechanics (74H45) Critical exponents in context of PDEs (35B33) Fractional derivatives and integrals (26A33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items

Existence of multiple solutions for fractional \(p\)-Kirchhoff equation with critical Sobolev exponent

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlocal problems at nearly critical growth
• Optimal decay of extremals for the fractional Sobolev inequality
• Local behavior of fractional \(p\)-minimizers
• Higher Sobolev regularity for the fractional \(p\)-Laplace equation in the superquadratic case
• Hitchhiker's guide to the fractional Sobolev spaces
• Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
• The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian
• Global Hölder regularity for the fractional \(p\)-Laplacian
• Uniform estimates and limiting arguments for nonlocal minimal surfaces
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
• The concentration-compactness principle in the calculus of variations. The limit case. I
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Multiplicity and concentration results for some nonlinear Schrödinger equations with the fractional \(p\)-Laplacian
• On critical Kirchhoff problems driven by the fractional Laplacian
• Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
• On the Brezis-Nirenberg problem for a Kirchhoff type equation in high dimension
• Dual variational methods in critical point theory and applications
• On the multiplicity and concentration for \(p\)-fractional Schrödinger equations
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Fractional eigenvalues
• A critical Kirchhoff type problem involving a nonlocal operator
• Bifurcation and multiplicity results for critical fractionalp-Laplacian problems
• Infinitely many solutions for the stationary Kirchhoff problems involving the fractionalp-Laplacian
• Non-local Diffusions, Drifts and Games
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Concentration of positive solutions for a class of fractionalp-Kirchhoff type equations
• Fractional p-eigenvalues
• An Extension Problem Related to the Fractional Laplacian
• Multiple solutions for a fractional $p$-Laplacian equation with sign-changing potential