Multibump solutions for critical Choquard equation (Q6554456)

scientific article; zbMATH DE number 7864220

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English	Multibump solutions for critical Choquard equation	scientific article; zbMATH DE number 7864220

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instance of

scholarly article

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title

Multibump solutions for critical Choquard equation (English)

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SIAM Journal on Mathematical Analysis

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publication date

12 June 2024

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zbMATH Keywords

nonlinear Choquard equation

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critical exponent

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existence of infinitely many multibump solutions

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MaRDI profile type

Publication

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cites work

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Multi-bump solutions for Choquard equation with deepening potential well

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Existence of groundstates for a class of nonlinear Choquard equations in the plane

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Standing waves for nonlinear Schrödinger equations with a general nonlinearity

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Multi-peak standing waves for nonlinear Schrödinger equations with a general nonlinearity

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Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

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Multiple solutions for the nonlinear Choquard equation with even or odd nonlinearities

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Semi-classical states for the nonlinear Choquard equations: existence, multiplicity and concentration at a potential well

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Positive and sign changing solutions to a nonlinear Choquard equation

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Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials

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Homoclinic type solutions for a semilinear elliptic PDE on ℝn

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On the prescribed scalar curvature problem in $\mathbb{R}^N$, local uniqueness and periodicity

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On the elliptic equation $\Delta u+Ku^{(n+2)/(n-2)}=0$ and related topics

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Uniqueness and nondegeneracy of solutions for a critical nonlocal equation

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Existence of solutions for critical Choquard equations via the concentration-compactness method

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Multiplicity and concentration results for local and fractional NLS equations with critical growth

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Construction of infinitely many solutions for a critical Choquard equation via local Pohožaev identities

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On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents

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The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation

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Nodal solutions for the Choquard equation

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Multiple positive solutions for a slightly subcritical Choquard problem on bounded domains

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Nondegeneracy of solutions for a critical Hartree equation

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On nodal solutions of the nonlinear Choquard equation

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Multi-bump solutions for nonlinear Choquard equation with potential wells and a general nonlinearity

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Existence and uniqueness of solutions for Choquard equation involving Hardy-Littlewood-Sobolev critical exponent

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Liouville theorems and classification results for a nonlocal Schrödinger equation

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Nondegeneracy of the positive solutions for critical nonlinear Hartree equation in ℝ⁶

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On –δu = K(x)u5 in ℝ3

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Prescribing scalar curvature on $\mathbb{S}^ 3$, $\mathbb{S}^ 4$ and related problems

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Prescribing scalar curvature on $\mathbb{S}^ n$ and related problems. I

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Multi-bump solutions of $-\Delta = K(x)u^{\frac{n+2}{n-2}}$ on lattices in $\mathbb{R}^n$

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Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation

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Q2716066

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The Choquard equation and related questions

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The concentration-compactness principle in the calculus of variations. The locally compact case. I

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Classification of positive solitary solutions of the nonlinear Choquard equation

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Symmetric positive solutions to nonlinear Choquard equations with potentials

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Spherically-symmetric solutions of the Schrödinger-Newton equations

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Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics

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Existence of groundstates for a class of nonlinear Choquard equations

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A guide to the Choquard equation

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The conjectures on conformal transformations of Riemannian manifolds

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Q5831956

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Existence of infinitely many homoclinic orbits in Hamiltonian systems

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On critical Choquard equation with potential well

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Infinitely many solutions for the prescribed scalar curvature problem on $\mathbb S^N$

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Saddle solutions for the Choquard equation with a general nonlinearity

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Saddle solutions for the Choquard equation

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Saddle solutions for the critical Choquard equation

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Normalized saddle solutions for a mass supercritical Choquard equation

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Concentration of solutions for the scalar curvature equation on $\mathbb{R}^n$

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Blow-up behavior of solutions to critical Hartree equations on bounded domain

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Sign-changing multi-bump solutions for Choquard equation with deepening potential well

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Multibump positive solutions for Choquard equation with double potentials in ℝ3$$ {\mathrm{\mathbb{R}}}&#x0005E;3 $$

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Identifiers

zbMATH Open document ID

1542.35175

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DOI

10.1137/23m1581820

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6554456