Normalized ground state solutions of the biharmonic Schrödinger equation with general mass supercritical nonlinearities

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-12-05 DOI:10.1016/j.aml.2024.109415

Ziheng Zhang, Ying Wang

引用次数: 0

Abstract

We are interested in the following problem Δ2u+λu=g(u)inRN,∫RN|u|2dx=c,where N≥5, c>0 and λ∈R appears as a Lagrange multiplier. When g(u) satisfies a class of general mass supercritical conditions, we introduce one more constraint and consider the corresponding infimum. After showing that the new constraint is natural and verifying the compactness of the minimizing sequence, we obtain the existence of normalized ground state solutions. In this sense, the existing results are generalized and improved significantly.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.