Nontrivial solutions of the Kirchhoff-type fractional \(p\)-Laplacian Dirichlet problem

DOI10.1155/2020/8453205zbMath1444.35081OpenAlexW3036984636MaRDI QIDQ777022

Hua Jin, Wenbin Liu, Tai Yong Chen

Publication date: 13 July 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/8453205

zbMATH Keywords

Dirichlet problemexistence of solutions\(p\)-LaplacianKirchhoff-type equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (1)

Existence and multiplicity of solutions for (p,q)$$ \left(p,q\right) $$‐Laplacian Kirchhoff‐type fractional differential equations with impulses

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solvability of fractional boundary value problem with \(p\)-Laplacian via critical point theory
• Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion
• The existence of solutions to boundary value problems of fractional differential equations at resonance
• Existence of solutions for a class of fractional boundary value problems via critical point theory
• Inverse problem of fractional calculus of variations for partial differential equations
• Boundary value problems for differential equations with fractional order and nonlocal conditions
• On initial and boundary value problems for fractional order mixed type functional differential inclusions
• Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations
• Critical point theory and Hamiltonian systems
• Global solvability for the degenerate Kirchhoff equation with real analytic data
• Least squares finite-element solution of a fractional order two-point boundary value problem
• Higher nonlocal problems with bounded potential
• Infinitely-many solutions for subquadratic fractional Hamiltonian systems with potential changing sign
• Variational structure and multiple solutions for a fractional advection-dispersion equation
• Maximum and minimum solutions for a nonlocal \(p\)-Laplacian fractional differential system from eco-economical processes
• Régularité de la solution d'un problème aux limites non linéaires
• On the Well-Posedness of the Kirchhoff String
• EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY
• Variational formulation for the stationary fractional advection dispersion equation
• Positive solutions for boundary value problem of nonlinear fractional differential equation
• Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation

This page was built for publication: Nontrivial solutions of the Kirchhoff-type fractional \(p\)-Laplacian Dirichlet problem