Planar Schrödinger equations with critical exponential growth

Singular perturbations in context of PDEs (35B25) Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Perturbations of nonlinear operators (47H14) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Cites Work

Ground state solution for a Kirchhoff problem with exponential critical growth
Bound states to critical quasilinear Schrödinger equations
Equivalent Moser type inequalities in $\mathbb{R}^2$ and the zero mass case
Concentrating soliton solutions for quasilinear Schrödinger equations involving critical Sobolev exponents
Positive ground state solutions for a quasilinear elliptic equation with critical exponent
Existence of a ground state solution for a nonlinear scalar field equation with critical growth
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Solitary waves for a class of quasilinear Schrödinger equations in dimension two
On a class of periodic quasilinear Schrödinger equations involving critical growth in $\mathbb R^2$
Elliptic equations in $R^ 2$ with nonlinearities in the critical growth range
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Minimax theorems
Ground states for quasilinear Schrödinger equations with critical growth
Ground state solutions for quasilinear Schrödinger equations with variable potential and superlinear reaction
Improved results on planar Kirchhoff-type elliptic problems with critical exponential growth
A unified approach to singularly perturbed quasilinear Schrödinger equations
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Ground States for Elliptic Equations in $\pmb{\mathbb{R}}^{2}$ with Exponential Critical Growth
Schrödinger semigroups
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Existence of solutions with prescribed norm for semilinear elliptic equations
Solutions for Quasilinear Schrödinger Equations via the Nehari Method
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SEMI-CLASSICAL STATES FOR QUASILINEAR SCHRÖDINGER EQUATIONS ARISING IN PLASMA PHYSICS
Trudinger-Moser Inequalities with the Exact Growth Condition in ℝ^Nand Applications
Existence of ground states for a modified nonlinear Schrödinger equation
Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
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Nonlinear Analysis - Theory and Methods
Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
Existence and concentration of positive solutions for quasilinear Schrödinger equations with critical growth
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Quasilinear asymptotically periodic Schrödinger equations with critical growth
Multiplicity for a strongly singular quasilinear problem via bifurcation theory
Supersolutions to nonautonomous Choquard equations in general domains

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