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arXiv · 2206.12583

Normalized ground state solutions for the fractional Sobolev critical NLSE with an extra mass supercritical nonlinearity

Jiabin Zuo·Yuyou Zhong·Dušan D. Repovš
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Abstract

This paper is concerned with existence of normalized ground state solutions for the mass supercritical fractional nonlinear Schr\"{o}dinger equation involving a critical growth in the fractional Sobolev sense. The compactness of Palais-Smale sequences is obtained by a special technique, which borrows from the ideas of Soave (J. Funct. Anal. 279 (6) (2020) 1086102020). This paper represents an extension of previously known results - in the local and the nonlocal cases.

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Jiabin Zuo, Yuyou Zhong, Dušan D. Repovš. 2022-06-25. Normalized ground state solutions for the fractional Sobolev critical NLSE with an extra mass supercritical nonlinearity. https://doi.org/10.1090/spmj%2F1829

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