On a nonlocal elliptic system of Hardy‐Kirchhoff type with critical exponents

DOI10.1002/mma.8546zbMath1529.35228OpenAlexW4285036989MaRDI QIDQ6182019

Augusto C. R. Costa, Olímpio Hiroshi Miyagaki, Fábio R. Pereira

Publication date: 20 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8546

zbMATH Keywords

existencesingular perturbationsvariational methodsHardy-Kirchhoff-type system

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Multiple solutions for \(p\)-Kirchhoff equations in \(\mathbb R^N\)
• Nonlinear perturbations of a periodic Kirchhoff equation in \(\mathbb R^N\)
• Hitchhiker's guide to the fractional Sobolev spaces
• Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
• Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential
• The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian
• A critical fractional Laplace equation in the resonant case
• Infinitely many solutions to a class of quasilinear Schrödinger system in \(\mathbb{R}^N\)
• Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity
• Nonlinear Schrödinger equations with vanishing and decaying potentials.
• Infinitely many radial solutions for Kirchhoff-type problems in \(\mathbb{R}^N\)
• On a class of nonlinear Schrödinger equations
• Best constant in Sobolev inequality
• Positive solutions for a nonlinear nonlocal elliptic transmission problem
• On systems of elliptic equations involving subcritical or critical Sobolev exponents
• Existence results for non-local elliptic systems with nonlinearities interacting with the spectrum
• On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
• Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity
• Multiplicity of solutions for a Kirchhoff equation with subcritical or critical growth.
• A Brezis-Nirenberg result for non-local critical equations in low dimension
• Multiple solutions for \(N\)-Kirchhoff type problems with critical exponential growth in \(\mathbb{R}^N\)
• Coupled elliptic systems in \(\mathbb{R}^N\) with \((p, N)\) Laplacian and critical exponential nonlinearities
• Approximation by regular functions in Sobolev spaces arising from doubly elliptic problems
• Study on existence of solutions for \(p\)-Kirchhoff elliptic equation in \(\mathbb{R}^{N}\) with vanishing potential
• Existence and multiplicity of solutions for fractional Schrödinger-Kirchhoff equations with Trudinger-Moser nonlinearity
• Existence of entire solutions for Schrödinger-Hardy systems involving two fractional operators
• \(p\)-fractional Hardy-Schrödinger-Kirchhoff systems with critical nonlinearities
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Multiplicity results for a class of semilinear elliptic equations on \(\mathbb{R}^ m\)
• Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
• The Brezis-Nirenberg problem for nonlocal systems
• Critical and subcritical fractional problems with vanishing potentials
• Concentrating Bound States for Kirchhoff Type Problems in ℝ³ Involving Critical Sobolev Exponents
• Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
• LIFESPAN ESTIMATES FOR SOLUTIONS OF POLYHARMONIC KIRCHHOFF SYSTEMS
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On a class of nonlocal elliptic problems with critical growth
• Homoclinic type solutions for a semilinear elliptic PDE on ℝⁿ
• On a class of semilinear elliptic problems in ℝN with critical growth
• Existence of positive solutions to fractional elliptic problems with Hardy potential and critical growth
• Quasilinear elliptic problems with critical exponents
• The Brezis-Nirenberg result for the fractional Laplacian
• Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
• Nonlinear perturbations of a periodic elliptic problem with critical growth.

This page was built for publication: On a nonlocal elliptic system of Hardy‐Kirchhoff type with critical exponents