English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

This paper is concerned with the following quasilinear Schrödinger system in RN : { −ε2∆u + V1(x)u− ε2∆(u2)u = K1(x)|u| −2u + h1(x, u, v)u, −ε2∆v + V2(x)v− ε2∆(v2)v = K2(x)|v| −2v + h2(x, u, v)v, where N ≥ 3, Vi(x) is a nonnegative potential, Ki(x) is a bounded positive function, i = 1, 2. h1(x, u, v)u and h2(x, u, v)v are superlinear but subcritical functions. Under some proper conditions, minimax methods are employed to establish the existence of standing wave solutions for this system provided that ε is small enough, more precisely, for any m ∈ N, it has m pairs of solutions if ε is small enough. And these solutions (uε, vε) → (0, 0) in some Sobolev space as ε → 0. Moreover, we establish the existence of positive solutions when ε = 1. The system studied here can model some interaction phenomena in plasma physics.

electronic journal on the qualitative theory of differential equations

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></mml:math>

Existence of standing wave solutions for coupled quasilinear Schrödinger systems with critical exponents in ℝN