Infinitely many solutions for quasilinear Schrödinger systems with finite and sign-changing potentials

Guo, Yuxia; Nie, Jianjun

doi:10.1007/s00033-016-0621-7

Z. Angew. Math. Phys.

2016

DOI: 10.1007/s00033-016-0621-7

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Infinitely many solutions for quasilinear Schrödinger systems with finite and sign-changing potentials

Yuxia Guo

Jianjun Nie

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Cited by 4 publications

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“…For example, Guo and Li [9] proved the existence of a ground state positive solution for a class of quasilinear Schrodinger system with critical exponents by perturbation method. We also refer to [11,10] and references therein for more related results on the quasilinear systems.…”

mentioning

confidence: 99%

Concentration of ground state solutions for quasilinear Schrödinger systems with critical exponents

Chen¹,

Guo²,

Tang³

2019

Communications on Pure &Amp; Applied Analysis

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This paper is concerned with the critical quasilinear Schrödinger systems in R N : −∆w + (λa(x) + 1)w − (∆|w| 2)w = p p+q |w| p−2 w|z| q + α α+β |w| α−2 w|z| β −∆z + (λb(x) + 1)z − (∆|z| 2)z = q p+q |w| p |z| q−2 z + β α+β |w| α |z| β−2 z, where λ > 0 is a parameter, p > 2, q > 2, α > 2, β > 2, 2 • (2 * − 1) < p + q < 2 • 2 * and α + β = 2 • 2 *. By using variational method , we prove the existence of positive ground state solutions which localize near the set Ω = int a −1 (0) ∩ int b −1 (0) for λ large enough.

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mentioning

confidence: 99%

Concentration of ground state solutions for quasilinear Schrödinger systems with critical exponents

Chen¹,

Guo²,

Tang³

2019

Communications on Pure &Amp; Applied Analysis

Self Cite

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Existence of multiple solutions for modified Schrödinger–Kirchhoff–Poisson type systems via perturbation method with sign-changing potential

Chen

Tang

Gao

2017

Computers & Mathematics with Applications

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Infinitely many solutions for quasilinear systems with critical exponent

Guo

Nie

2018

Nonlinear Analysis: Real World Applications

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Infinitely many solutions for quasilinear Schrödinger systems with finite and sign-changing potentials

Cited by 4 publications

References 29 publications

Concentration of ground state solutions for quasilinear Schrödinger systems with critical exponents

Concentration of ground state solutions for quasilinear Schrödinger systems with critical exponents

Existence of multiple solutions for modified Schrödinger–Kirchhoff–Poisson type systems via perturbation method with sign-changing potential

Infinitely many solutions for quasilinear systems with critical exponent

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