ON A CLASS OF MIXED CHOQUARD-SCHRODINGER-POISSON SYSTEMS

MARIUS GHERGU; GURPREET SINGH

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ON A CLASS OF MIXED CHOQUARD-SCHRODINGER-POISSON SYSTEMS

机译：在一类混合Choquard-Schrodinger-Poisson系统

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We study the system{-Δu + u = (Iα*｜u｜~p)｜u｜~(p-2)u + K(ⅹ)Φ｜u｜~(q-2)u in R~N, -ΔΦ = K(ⅹ)｜u｜~q in R~N, where N ≥ 3, α∈ (0,N), p, q > 1 and K ≥ 0. Using a Pohozaev type identity we first derive conditions in terms of p, q,N, α and K for which no solutions exist. Next, we discuss the existence of a ground state solution by using a variational approach.

机译：我们研究了系统{-ΔU+ U =（Iα* | U |〜P）| U |〜（P-2）U + k（ⅹ）φ|〜（Q-2）U在R〜n中， - Δφ= k（ⅹ）| u |〜q在r〜n中，其中n≥3，αν（0，n），p，q> 1和k≥0。使用Pohozaev类型标识我们首先导出条件存在不存在解的p，q，n，α和k的术语。接下来，我们通过使用变分方法讨论地面解决方案的存在。

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来源
《Discrete and continuous dynamical systems▼hSeries S》 |2019年第2期|297-309|共13页
作者
MARIUS GHERGU; GURPREET SINGH;
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作者单位

School of Mathematics and Statistics University College Dublin Belfield Dublin 4 Ireland;

School of Mathematics and Statistics University College Dublin Belfield Dublin 4 Ireland;

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正文语种 eng
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关键词
Choquard equation; Schr odinger-Poisson equation; Pohozaev identity; ground state solution;

机译：Choquard方程;Schrodinger-Poisson方程;Pohozaev身份;地面州解决方案;

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ON A CLASS OF MIXED CHOQUARD-SCHRODINGER-POISSON SYSTEMS

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