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Schrödinger equations involving fractional p-Laplacian with supercritical exponent
Complex Variables and Elliptic Equations ( IF 0.9 ) Pub Date : 2020-12-21 , DOI: 10.1080/17476933.2020.1857370 Olímpio H. Miyagaki 1 , Sandra I. Moreira 2 , Rônei S. Vieira 3
中文翻译:
涉及具有超临界指数的分数 p-拉普拉斯算子的薛定谔方程
更新日期:2020-12-21
Complex Variables and Elliptic Equations ( IF 0.9 ) Pub Date : 2020-12-21 , DOI: 10.1080/17476933.2020.1857370 Olímpio H. Miyagaki 1 , Sandra I. Moreira 2 , Rônei S. Vieira 3
Affiliation
ABSTRACT
In this paper we establish the existence of solutions for Schrödinger equations involving fractional p-Laplacian with supercritical growth and nonlinearities indefinite in sign, by using variational methods combined with sub-super solutions arguments.
中文翻译:
涉及具有超临界指数的分数 p-拉普拉斯算子的薛定谔方程
摘要
在本文中,我们通过使用变分方法结合子超解参数,建立了涉及具有超临界增长和符号不定非线性的分数p-拉普拉斯方程的薛定谔方程解的存在性。