Critical exponents and solitary wave solutions for generalized quasilinear Schrödinger equations

From MaRDI portal
Publication:890192

DOI10.1016/j.jde.2015.09.021zbMath1330.35099OpenAlexW1803646468MaRDI QIDQ890192

Shusen Yan, Shuangjie Peng, Yinbin Deng

Publication date: 9 November 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.09.021




Related Items (79)

Existence of ground state solutions for a class of quasilinear Schrödinger equations with general critical nonlinearityPositive solutions for a relativistic nonlinear Schrödinger equation with critical exponent and Hardy potentialSingular 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 termSign-changing solutions for a modified nonlinear Schrödinger equation in \(\mathbb{R}^N\)Quasilinear Schrödinger equations involving singular potentialsSoliton 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 growthGround state solutions for asymptotically periodic quasilinear Schrödinger equations with critical growthExistence 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 \(\mathbb{R}^N\)Existence results for quasilinear Schrödinger equations with a general nonlinearityInfinitely many solutions for generalized quasilinear Schrödinger equations with sign-changing potentialGround states for a class of generalized quasilinear Schrödinger equations in \(\mathbb R^N\)Radial solutions for quasilinear Schrödinger equations without 4-superlinear conditionMultiple solutions for quasilinear Schrödinger equations involving local nonlinearity termMultiplicity of solutions for singular quasilinear Schrödinger equations with critical exponentsExistence and multiplicity of solutions for a quasilinear Choquard equation via perturbation methodGround state solutions for generalized quasilinear Schrödinger equations with variable potentials and Berestycki-Lions nonlinearitiesExistence of a bound state solution for quasilinear Schrödinger equationsExistence and concentration behavior of solutions for a class of quasilinear elliptic equations with critical growthGround state sign-changing solutions for a class of generalized quasilinear Schrödinger equations with a Kirchhoff-type perturbationOn concentration of solutions for quasilinear Schrödinger equations with critical growth in the planeExistence 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 equationsExistence and concentration behavior of ground states for a generalized quasilinear Choquard equation involving steep potential wellMultiplicity results for generalized quasilinear critical Schrödinger equations in \(\mathbb{R}^N\)Existence of positive solution for a class of quasilinear Schrödinger equations with critical Choquard nonlinearityExistence 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 exponentGround 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 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 exponentAn existence result for a generalized quasilinear Schrödinger equation with nonlocal termUnnamed ItemMultiple solitary wave solutions for nonhomogeneous quasilinear Schrödinger equationsGeneralized quasilinear Schrödinger equations with concave functions \( l(s^2)\)Solutions for critical quasilinear elliptic equations in RNPositive solutions for a class of singular quasilinear Schrödinger equations with critical Sobolev exponentInfinitely many solutions for generalized quasilinear Schrödinger equations with a finite potential wellNodal solutions for a generalized quasilinear Schrödinger equation with critical exponentsGround state solutions for generalized quasilinear Schrödinger equations without \((AR)\) conditionPositive solutions for a class of quasilinear Schrödinger equations with two parametersPositive ground state solutions for a quasilinear elliptic equation with critical exponentGround state solutions for quasilinear Schrödinger equations with variable potential and superlinear reactionInfinitely many solutions for a class of quasilinear Schrödinger equations involving sign-changing weight functionsA remark on quasilinear Schrödinger equations with Berestycki-Lions conditionsMultiple radial and nonradial normalized solutions for a quasilinear Schrödinger equationUnnamed ItemExistence and nonexistence of solution for a class of quasilinear Schrödinger equations with critical growthبررسی وجود جوابهای دستهای از معادلات شرودینگر شبه خطیMultiplicity and concentration behavior of positive solutions for a generalized quasilinear Choquard equationExistence of solution for a class of quasilinear Schrödinger equation in \(\mathbb{R}^N\) with zero-massPositive, negative, and sign-changing solutions to a quasilinear Schrödinger equation with a parameterOn a class of quasilinear Schrödinger equations with vanishing potentials and mixed nonlinearitiesFast and slow decaying solutions for \(H^{1}\)-supercritical quasilinear Schrödinger equationsSome results on standing wave solutions for a class of quasilinear Schrödinger equationsConcentration behavior of solutions for quasilinear elliptic equations with steep potential wellGround state solutions for generalized quasilinear Schrödinger equations with critical growthExistence and asymptotic behavior of standing wave solutions for a class of generalized quasilinear Schrödinger equations with critical Sobolev exponentsSingular quasilinear critical Schrödinger equations in \(\mathbb{R}^N\)Existence of ground state solutions for critical quasilinear Schrödinger equations with steep potential wellThe first eigenvalue for a quasilinear Schrödinger operator and its applicationNonexistence of ground state solutions for generalized quasilinear Schrödinger equations via dual approachAsymptotically periodic quasilinear Schrödinger equations with critical exponential growthExistence of critical points for noncoercive functionals with critical Sobolev exponentThe existence of sign-changing solution for a class of quasilinear Schrödinger-Poisson systems via perturbation methodA priori bounds and existence of non-negative solutions to a quasi-linear Schrödinger equation involving \(p\)-Laplacian



Cites Work


This page was built for publication: Critical exponents and solitary wave solutions for generalized quasilinear Schrödinger equations