SEMI-CLASSICAL STATES FOR QUASILINEAR SCHRÖDINGER EQUATIONS ARISING IN PLASMA PHYSICS
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Publication:3398309
DOI10.1142/S021919970900348XzbMath1179.35304OpenAlexW2024306935MaRDI QIDQ3398309
Uberlandio B. Severo, Abbas Moameni, João Marcos Bezerra do Ó
Publication date: 28 September 2009
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021919970900348x
Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Soliton solutions (35C08) Positive solutions to PDEs (35B09)
Related Items (16)
Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in \(\mathbb R^2\) ⋮ Existence and concentration behavior of sign-changing solutions for quasilinear Schrödinger equations ⋮ Existence of semiclassical states for a quasilinear Schrödinger equation with critical exponent in \(\mathbb{R}^N\) ⋮ On concentration of solutions for quasilinear Schrödinger equations with critical growth in the plane ⋮ Solutions for a class of singular quasilinear equations involving critical growth in R2$\mathbb {R}^2$ ⋮ Existence and asymptotic behaviour for the \(2D\)-generalized quasilinear Schrödinger equations involving Trudinger-Moser nonlinearity and potentials ⋮ On a nonhomogeneous and singular quasilinear equation involving critical growth in \(\mathbb R^2\) ⋮ Multibump bound states for quasilinear Schrödinger systems with critical frequency ⋮ Existence and concentration of ground state solutions for a subcubic quasilinear problem via Pohozaev manifold ⋮ Blow-up phenomena and asymptotic profiles passing from \(H^1\)-critical to super-critical quasilinear Schrödinger equations ⋮ Quasilinear Schrödinger equations with singular and vanishing potentials involving exponential critical growth in \(\mathbb{R}^2\) ⋮ Solutions of semiclassical states for perturbed \( p\)-Laplacian equation with critical exponent ⋮ A unified approach to singularly perturbed quasilinear Schrödinger equations ⋮ Existence and concentration of positive solutions for a quasilinear equation in \(\mathbb R^N\) ⋮ Semiclassical ground state solutions for a Schrödinger equation in R2 with critical exponential growth ⋮ New existence results on planar quasilinear Schrödinger equations with subcritical exponential growth
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