Existence of standing wave solutions for coupled quasilinear Schrödinger systems with critical exponents in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>ℝ</mml:mi><mml:mi>N</mml:mi></mml:msup></mml:mrow>

DOI10.14232/EJQTDE.2017.1.12zbMATH Open1413.35184OpenAlexW2604926089MaRDI QIDQ4584481

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Publication date: 3 September 2018

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

Full work available at URL: https://doi.org/10.14232/ejqtde.2017.1.12

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zbMATH Keywords

mountain pass theoremcritical growthstanding wave solutionsquasilinear Schrödinger system\((PS)_c\) sequence

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (4)

Existence and numerical computation of standing wave solutions for a system of two coupled Schrödinger equations ⋮ Existence of standing waves for quasi-linear Schrödinger equations on \(T^n\) ⋮ Existence and multiplicity of solutions to perturbed \(\Delta^{\alpha,\beta}_{\alpha_1,\beta_1}\)-Laplacian system in \(\mathbb{R}^N\) involving critical nonlinearity ⋮ Existence and asymptotic behavior of standing wave solutions for a class of generalized quasilinear Schrödinger equations with critical Sobolev exponents

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