Existence and multiplicity results for critical anisotropic Kirchhoff-type problems with nonlocal nonlinearities

DOI10.1080/17476933.2020.1843448zbMath1486.35203OpenAlexW3107721810MaRDI QIDQ5066119

Suellen Cristina Q. Arruda, Leandro S. Tavares, Gelson C. G. dos Santos, Julio R. S. Silva

Publication date: 29 March 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1843448

zbMATH Keywords

existencevariational methodsDirichlet conditionKirchhoff-type equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Related Items

Solutions for a nonlocal elliptic system with general growth ⋮ Elliptic anisotropic Kirchhoff-type problems with singular term ⋮ Anisotropic nonlocal problem with discontinuous nonlinearities

Cites Work

• Some remarks on profile decomposition theorems
• Existence of solutions for semilinear nonlocal elliptic problems via a Bolzano theorem
• On sequences of solutions for discrete anisotropic equations
• An anisotropic fourth-order diffusion filter for image noise removal
• Positive solutions of elliptic Kirchhoff equations
• Existence and multiplicity of solutions for nonlocal \(\overrightarrow{p}(x)\)-Laplacian problem
• Existence of solution for a anisotropic equation with critical exponent.
• Nonlinear heterogeneous problems with nonlocal reaction term
• Solutions for a Kirchhoff equation with critical Caffarelli-Kohn-Nirenberg growth and discontinuous nonlinearity
• Local vs. non-local interactions in population dynamics
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Remarks on an elliptic equation of Kirchhoff type
• Nonlinear eigenvalues for anisotropic quasilinear degenerate elliptic equations
• Variational methods for potential operator equations: with applications to nonlinear elliptic equations
• On some anisotropic reaction-diffusion systems with \(L^{1}\)-data modeling the propagation of an epidemic disease
• Multiscale weak compactness in metric spaces
• Existence of nontrivial solution for a nonlocal problem with subcritical nonlinearity
• A critical anisotropic problem with discontinuous nonlinearities
• Infinitely many symmetric solutions for anisotropic problems driven by nonhomogeneous operators
• Variational analysis of anisotropic Schrödinger equations without Ambrosetti-Rabinowitz-type condition
• Infinitely many solutions for \(N\)-Kirchhoff equation with critical exponential growth in \({\mathbb {R}}^N\)
• Existence and nonexistence results for anisotropic quasilinear elliptic equations
• Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
• Supercritical fractional Kirchhoff type problems
• Concentration phenomena for a class of fractional Kirchhoff equations in \(\mathbb{R}^N\) with general nonlinearities
• Infinitely many periodic solutions for a class of fractional Kirchhoff problems
• Existence of solution for a class of nonlocal elliptic problem via sub-supersolution method
• Fractional equations with bounded primitive
• Existence results for a Kirchhoff type equation in Orlicz-Sobolev spaces
• Existence and asymptotic behaviour for a Kirchhoff type equation with variable critical growth exponent
• The critical problem of Kirchhoff type elliptic equations in dimension four
• Renormalized solutions of an anisotropic reaction-diffusion-advection system with \(L^1\) data
• Extremal functions for the anisotropic Sobolev inequalities
• Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
• Radial solutions for a nonlocal boundary value problem
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
• Existence of solutions for Kirchhoff type problems in Musielak-Orlicz-Sobolev spaces
• A critical Kirchhoff type problem involving a nonlocal operator
• Solutions of an anisotropic nonlocal problem involving variable exponent
• Positive solutions of Kirchhoff type elliptic equations in R4 with critical growth
• Qualitative Analysis of Solutions for a Class of Anisotropic Elliptic Equations with Variable Exponent
• A multiplicity result for a fractional Kirchhoff equation in ℝN with a general nonlinearity
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• On a fractional Kirchhoff-type equation via Krasnoselskii’s genus
• Eigenvalue problems for anisotropic discrete boundary value problems
• Concentration phenomena for a fractional Schrödinger‐Kirchhoff type equation
• MULTIPLE SOLUTIONS FOR A KIRCHHOFF EQUATION WITH NONLINEARITY HAVING ARBITRARY GROWTH
• On Existence Results for an Anisotropic Elliptic Equation of Kirchhoff-Type by a Monotonicity Method
• Existence of positive solution for Kirchhoff type problem with critical discontinuous nonlinearity
• Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems
• Partial Differential Equations with Variable Exponents
• On a bi‐nonlocal p(x)‐Kirchhoff equation via Krasnoselskii's genus
• Positive Solutions for a Class of Nonlocal Elliptic Problems
• On a variational approach to some non-local boundary value problems
• Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
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