Ground state solutions for the quasilinear Schrödinger equation

DOI10.1016/j.na.2011.12.024zbMath1234.35246OpenAlexW2130088926MaRDI QIDQ765257

Yuxia Guo, Zhongwei Tang

Publication date: 19 March 2012

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.2011.12.024

zbMATH Keywords

Orlicz spacequasilinear Schrödinger equationleast energy solution

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) NLS equations (nonlinear Schrödinger equations) (35Q55) Quasilinear elliptic equations (35J62)

Related Items (16)

Two nontrivial solutions for a nonhomogeneous fractional Schrödinger-Poisson equation in \(\mathbb{R}^3\) ⋮ Existence of solutions for a modified nonlinear Schrödinger system ⋮ Asymptotical behavior of ground state solutions for critical quasilinear Schrödinger equation ⋮ Least energy solutions for a quasilinear Schrödinger equation with potential well ⋮ Concentrating positive solutions for quasilinear Schrödinger equations involving steep potential Well ⋮ Existence results for a fractional Schrödinger–Poisson equation with concave–convex nonlinearity in ℝ3 ⋮ Infinitely many solutions for a class of quasilinear equation with a combination of convex and concave terms ⋮ Multiplicity and concentration results for a class of singularly perturbed critical quasilinear Schrödinger equation ⋮ Existence results for nonlinear Schrödinger systems with electromagnetic fields in ℝ^N ⋮ Semiclassical ground states for quasilinear Schrödinger equations with three times growth ⋮ Existence of solutions for a general quasilinear elliptic system via perturbation method ⋮ Positive solution for a quasilinear elliptic equation involving critical or supercritical exponent ⋮ Concentration of positive solutions for critical quasilinear Schrödinger equation with competing potentials ⋮ Existence of ground state solutions for critical quasilinear Schrödinger equations with steep potential well ⋮ Existence and concentration behavior of positive solutions for a quasilinear Schrödinger equation ⋮ Quasilinear elliptic problems under asymptotically linear conditions at infinity and at the origin

Cites Work

• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Semi-classical states for nonlinear Schrödinger equations
• Global existence of small solutions to a relativistic nonlinear Schrödinger equation
• Semiclassical states of nonlinear Schrödinger equations
• Multi-peak bound states for nonlinear Schrödinger equations
• Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
• Solutions for a quasilinear Schrödinger equation: a dual approach.
• On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
• Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
• Soliton solutions for quasilinear Schrödinger equations. II.
• Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
• Evolution theorem for a class of perturbed envelope soliton solutions
• Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)_a
• Stability and instability results for standing waves of quasi-linear Schrödinger equations
• Multi-peak periodic semiclassical states for a class of nonlinear Schrödinger equations
• Multiplicity results for some nonlinear Schrödinger equations with potentials
• Unnamed Item

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