Soliton solutions for generalized quasilinear Schrödinger equations

From MaRDI portal
Publication:1937585

DOI10.1016/j.na.2012.10.005zbMath1278.35233OpenAlexW2017989469MaRDI QIDQ1937585

Youjun Wang, Yao-Tian Shen

Publication date: 1 March 2013

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

Full work available at URL: https://doi.org/10.1016/j.na.2012.10.005




Related Items (only showing first 100 items - show all)

Existence of solution for quasilinear Schrödinger equations using a linking structurePositive solutions for a relativistic nonlinear Schrödinger equation with critical exponent and Hardy potentialUniqueness of asymptotic limit of ground states for a class of quasilinear Schrödinger equation with H1-critical growth in ℝ3Generalized quasilinear elliptic equations in \(\mathbb{R}^N\)On concentration of solutions for quasilinear Schrödinger equations with critical growth in the planeStanding wave solutions for a generalized quasilinear Schrödinger equation with indefinite potentialPositive ground state solutions for generalized quasilinear Schrödinger equations with critical growthExistence and multiplicity of sign-changing solitary waves for a quasilinear Schrödinger equationMultiplicity of solutions for some singular quasilinear Schrödinger–Kirchhoff equations with critical exponentsExistence and multiplicity of solutions for generalized quasilinear Schrödinger equationsGround state for relativistic nonlinear Schrödinger equations involving general nonlinear termLocalized solutions of higher topological type for semiclassical generalized quasilinear Schrödinger equationsSoliton solutions for quasilinear modified Schrödinger equations in applied sciencesExistence of positive solution for a class of quasilinear Schrödinger equations with critical Choquard nonlinearityConcentrating positive solutions for quasilinear Schrödinger equations involving steep potential WellExistence and asymptotic behaviour for the \(2D\)-generalized quasilinear Schrödinger equations involving Trudinger-Moser nonlinearity and potentialsExistence and asymptotic behavior of ground state solutions for quasilinear Schrödinger equations with unbounded potentialSemiclassical solutions of generalized quasilinear Schrödinger equations with competing potentialsSemi-classical solutions for generalized quasilinear Schrödinger equations with nonlocal term and upper critical exponentNonexistence and existence of positive ground state solutions for generalized quasilinear Schrödinger equationsGround state solutions for a class of generalized quasilinear Schrödinger‐Maxwell system with critical growthSolutions to degenerative generalized quasilinear Schrödinger equations involving vanishing potentials and critical exponentExistence and nonexistence results for generalized quasilinear Schrödinger equations of Kirchhoff type in ℝ3Unnamed ItemUnnamed ItemPeriodic and asymptotically periodic quasilinear elliptic systemsPositive solutions for a relativistic nonlinear Schrödinger equation with square-root nonlinearityQuasilinear Schrödinger equations with a positive parameter and involving unbounded or decaying potentialsConcentrating ground state solutions for quasilinear Schrödinger equations with steep potential wellNodal soliton solutions for generalized quasilinear Schrödinger equationsUnnamed ItemUnnamed ItemPositive, negative, and sign-changing solutions to a quasilinear Schrödinger equation with a parameterPositive solutions for quasilinear Schrödinger equations with superlinear termSingularly perturbed quasilinear Schrödinger equations with negative parametersSome results on standing wave solutions for a class of quasilinear Schrödinger equationsMultiple solutions for a class of quasilinear Schrödinger equationsThe existence result for a relativistic nonlinear Schrödinger equationConcentration of positive solutions for critical quasilinear Schrödinger equation with competing potentialsThe first eigenvalue for a quasilinear Schrödinger operator and its applicationPositive solutions for generalized quasilinear Schrödinger equations with asymptotically linear nonlinearitiesAsymptotically periodic quasilinear Schrödinger equations with critical exponential growthGeneralized quasilinear equations with sign-changing unbounded potentialOn a class of quasilinear Schrödinger equations with the supercritical growthExistence of critical points for noncoercive functionals with critical Sobolev exponentExistence of solutions for a class of quasilinear Schrödinger equation with a Kirchhoff-typeOn a class of quasilinear Schrödinger equations with superlinear or asymptotically linear termsExistence of ground state solutions for a class of quasilinear Schrödinger equations with general critical nonlinearityGround state solutions for a class of generalized quasilinear Schrödinger-Poisson systemsNonexistence of stable solutions for quasilinear Schrödinger equationMultiplicity and existence of solutions for generalized quasilinear Schrödinger equations with sign-changing potentialsNonexistence and existence of positive radial solutions to a class of quasilinear Schrödinger equations in \(\mathbb{R}^N\)On some classes of generalized Schrödinger equationsExistence of nontrivial solutions for generalized quasilinear Schrödinger equations with critical growthMultiple solutions to a class of generalized quasilinear Schrödinger equations with a Kirchhoff-type perturbationSingular quasilinear Schrödinger equations with exponential growth in dimension twoGround state solutions for quasilinear Schrödinger equations with critical growth and lower power subcritical perturbationPositive solutions for generalized quasilinear Schrödinger equations with potential vanishing at infinityExistence of ground state solutions for generalized quasilinear Schrödinger equations with asymptotically periodic potentialMultiplicity and concentration results for generalized quasilinear Schrödinger equations with nonlocal termSoliton solutions to a class of relativistic nonlinear Schrödinger equationsSoliton solutions for a quasilinear Schrödinger equation with critical exponentA nontrivial solution of a quasilinear elliptic equation via dual approachExistence and concentration behavior of ground state solutions for a class of generalized quasilinear Schrödinger equations in \(\mathbb{R}^N\)Generalized quasilinear Schrödinger equations with critical growthExistence and nonexistence of entire large solutions to a class of generalized quasilinear Schrödinger equationsExistence and multiplicity of solutions for a class of generalized quasilinear Schrödinger equationsMultiple solutions for nonhomogeneous Schrödinger equationsSome existence results on a class of generalized quasilinear Schrödinger equations with Choquard typeDegenerate coercive quasilinear elliptic equations with subcritical or critical exponents in \(\mathbb{R}^N\)Ground states for a class of quasilinear Schrödinger equations with vanishing potentialsMultiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearityInfinitely many solutions for generalized quasilinear Schrödinger equations with sign-changing potentialNon-Nehari manifold method for a class of generalized quasilinear Schrödinger equationsExistence of solutions for a class of quasilinear Schrödinger equation with a Kirchhoff-typeGround states for a class of generalized quasilinear Schrödinger equations in \(\mathbb R^N\)Soliton solutions for a class of generalized quasilinear Schrödinger equationsMultiple solutions for quasilinear Schrödinger equations involving local nonlinearity termMultiplicity of solutions for singular quasilinear Schrödinger equations with critical exponentsAsymptotic property of ground states for a class of quasilinear Schrödinger equation with \(H^1\)-critical growthAsymptotical behavior of ground state solutions for critical quasilinear Schrödinger equationGround state solutions for generalized quasilinear Schrödinger equations with variable potentials and Berestycki-Lions nonlinearitiesGround state sign-changing solutions for a class of generalized quasilinear Schrödinger equations with a Kirchhoff-type perturbationCritical exponents and solitary wave solutions for generalized quasilinear Schrödinger equationsExistence of solutions for a class of generalized quasilinear Schrödinger equationsMultiplicity of solutions for critical quasilinear Schrödinger equations using a linking structureDark soliton solutions for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in the inhomogeneous optical fiberExistence and concentration behavior of ground states for a generalized quasilinear Choquard equation involving steep potential wellSoliton solutions for a generalized quasilinear elliptic problemExistence and asymptotic profiles of positive solutions of quasilinear Schrödinger equations in R3Existence of ground state sign-changing solutions for a class of generalized quasilinear Schrödinger-Maxwell system in \(\mathbb R^3\)Existence and nonexistence of positive solutions for a class of generalized quasilinear Schrödinger equations involving a Kirchhoff-type perturbation with critical Sobolev exponentThe existence results for a class of generalized quasilinear Schrödinger equation with nonlocal termExistence of solution for a generalized quasilinear elliptic problemAn existence result for a generalized quasilinear Schrödinger equation with nonlocal termMultiple solutions for generalized quasilinear Schrödinger equationsGround state solutions and geometrically distinct solutions for generalized quasilinear Schrödinger equationExistence, multiplicity, and concentration of solutions for generalized quasilinear Schrödinger equations with critical growthMultiple solitary wave solutions for nonhomogeneous quasilinear Schrödinger equationsPositive soliton solutions for generalized quasilinear Schrödinger equations with critical growth




This page was built for publication: Soliton solutions for generalized quasilinear Schrödinger equations