\(n\)-Kirchhoff-Choquard equations with exponential nonlinearity

DOI10.1016/j.na.2019.01.006zbMath1418.35355arXiv1810.00583OpenAlexW2892634095WikidataQ115568777 ScholiaQ115568777MaRDI QIDQ2312583

Jacques Giacomoni, Tuhina Mukherjee, Rakesh Arora, Konijeti Sreenadh

Publication date: 17 July 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.00583

zbMATH Keywords

Kirchhoff equationNehari manifoldMoser-Trudinger inequalitydoubly non local equationChoquard nonlinearity with critical growth

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (15)

Fractional Kirchhoff-Choquard equations involving upper critical exponent and general nonlinearity ⋮ Kirchhoff type elliptic systems with exponential growth nonlinearities ⋮ Adams-Moser-Trudinger inequality in the Cartesian product of Sobolev spaces and its applications ⋮ On nonlocal Choquard system with Hardy-Littlewood-Sobolev critical exponents ⋮ On critical N‐Kirchhoff type equations involving Trudinger–Moser nonlinearity ⋮ Quasilinear Choquard equations involving N‐Laplacian and critical exponential nonlinearity ⋮ Existence of ground state solutions for a Choquard double phase problem ⋮ A Choquard‐type equation with a singular absorption nonlinearity in two dimensions ⋮ Quasilinear Schrödinger equations with Stein-Weiss type convolution and critical exponential nonlinearity in \(\mathbb{R}^N\) ⋮ Existence of solutions for fractional-Choquard equation with a critical exponential growth in \(\mathbb{R}^N\) ⋮ Multiple weak solutions for pi(x)‐Kirchhoff‐type quasilinear elliptic systems ⋮ Polyharmonic Kirchhoff problems involving exponential non-linearity of Choquard type with singular weights ⋮ Existence of solutions for a fractional Choquard-type equation in \(\mathbb{R}\) with critical exponential growth ⋮ Kirchhoff equations with Choquard exponential type nonlinearity involving the fractional Laplacian ⋮ Critical Growth Elliptic Problems with Choquard Type Nonlinearity: A Survey

Cites Work

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• \(n\)-Kirchhoff type equations with exponential nonlinearities
• Multiple positive solutions for a Kirchhoff type problem with a critical nonlinearity
• Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in \(\mathbb R^2\)
• Ground state solution for a Kirchhoff problem with exponential critical growth
• New existence and multiplicity of nontrivial solutions for nonlocal elliptic Kirchhoff type problems
• Existence of a positive solution to Kirchhoff-type problems without compactness conditions
• Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
• A guide to the Choquard equation
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Multiplicity results for a semi-linear elliptic equation involving sign-changing weight function
• Multiple positive solutions for a class of concave-convex elliptic problems in \(\mathbb R^N\) involving sign-changing weight
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Nehari manifold and existence of positive solutions to a class of quasilinear problems
• Multiple solutions with changing sign energy to a nonlinear elliptic equation
• Semilinear Dirichlet problems for the \(N\)-Laplacian in \(\mathbb{R}^ N\) with nonlinearities in the critical growth range
• Multiplicity of solutions for a Kirchhoff equation with subcritical or critical growth.
• Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
• A strong maximum principle for some quasilinear elliptic equations
• On semilinear elliptic equations involving concave--convex nonlinearities and sign-changing weight function
• Existence and concentration of sign-changing solutions to Kirchhoff-type system with Hartree-type nonlinearity
• A note on Kirchhoff-type equations with Hartree-type nonlinearities
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Positive solutions for the p-Laplacian: application of the fibrering method
• Existence of solutions for a nonlocal variational problem in $\mathbb{R}^2$ with exponential critical growth
• The Nehari manifold approach for N-Laplace equation with singular and exponential nonlinearities in ℝ^N
• Variational Methods

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