带有上临界指数的choquard方程的正规化解
首发时间:2023-12-22
摘要:本文研究了一类带有上临界指数的choquard方程正规化解的存在性. 在一些适当的条件下, 通过山路引理和pohoz\v{a}ev恒等式, 找到一个ps序列, 从而得到方程对应泛函的临界点, 证明了该方程的正规化解的存在性.
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normalized solution to the choquard equations with upper critical exponent
abstract:in this paper,we study the existence of normal solutions of choquard equations with upper critical exponent. under some suitable conditions, we find a ps sequence through the mountain-pass lemma and pohoz\v{a}ev identity, and then establish the critical point of the corresponding functional of the equation, and we prove the existence of the normal solution of the equation.
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