Pohožaev method and nontrivial ground state solutions for a class of quasilinear Schrödinger system (Q6668571)

scientific article; zbMATH DE number 7972496

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English	Pohožaev method and nontrivial ground state solutions for a class of quasilinear Schrödinger system	scientific article; zbMATH DE number 7972496

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instance of

scholarly article

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title

Pohožaev method and nontrivial ground state solutions for a class of quasilinear Schrödinger system (English)

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Journal of Fixed Point Theory and Applications

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publication date

22 January 2025

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zbMATH Keywords

quasilinear Schrödinger system

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nontrivial ground state solution

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Pohožaev manifold

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Moser iteration

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MaRDI profile type

Publication

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cites work

Blow-up phenomena and asymptotic profiles of ground states of quasilinear elliptic equations with \(H^1\)-supercritical nonlinearities

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Soliton solutions for a class of quasilinear Schrödinger equations with a parameter

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A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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Nonlinear scalar field equations. I: Existence of a ground state

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Bifurcation analysis for a modified quasilinear equation with negative exponent

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Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case

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Characterization of ground-states for a system of \(M\) coupled semilinear Schrödinger equations and applications

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A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system

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Normalized solution to the Schrödinger equation with potential and general nonlinear term: mass super-critical case

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Semiclassical limits of ground state solutions to Schrödinger systems

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Elliptic partial differential equations of second order

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A note on concentration for blowup solutions to supercritical Schrödinger equations

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Semiclassical states for weakly coupled fractional Schrödinger systems

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Orbital stability of solitary waves for generalized derivative nonlinear Schrödinger equations in the endpoint case

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Existence of positive solutions for supercritical quasilinear Schrödinger elliptic equations

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

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Sign-changing solutions for coupled nonlinear Schrödinger equations with critical growth

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Multiple mixed states of nodal solutions for nonlinear Schrödinger systems

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Multiple Sign-Changing Solutions for Quasilinear Elliptic Equations via Perturbation Method

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Soliton solutions for quasilinear Schrödinger equations. II.

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Solutions for Quasilinear Schrödinger Equations via the Nehari Method

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Localized nodal solutions for quasilinear Schrödinger equations

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Ground states for quasilinear Schrödinger equations with critical growth

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Quasilinear elliptic equations with critical growth via perturbation method

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Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)

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Least energy positive solutions for \(d\)-coupled Schrödinger systems with critical exponent in dimension three

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Positive solution for a quasilinear elliptic equation involving critical or supercritical exponent

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Multiple bound states of nonlinear Schrödinger systems

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Nash moser methods for the solution of quasilinear schrödinger equations

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Semiclassical states for weakly coupled nonlinear Schrödinger systems

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On the existence of soliton solutions to quasilinear Schrödinger equations

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Quasilinear asymptotically periodic Schrödinger equations with critical growth

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Variational Methods

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Multipulse phases in k-mixtures of Bose-Einstein condensates

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Radial solutions and phase separation in a system of two coupled Schrödinger equations

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Existence of semiclassical states for a quasilinear Schrödinger equation with critical exponent in \(\mathbb{R}^N\)

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Positive least energy solutions for \(k\)-coupled Schrödinger system with critical exponent: the higher dimension and cooperative case

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Solutions concentrating around the saddle points of the potential for critical Schrödinger equations

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Identifiers

DOI

10.1007/s11784-024-01156-1

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6668571