Normalized solutions to Brezis-Nirenberg-type problem for a Schrödinger equation with van der Waals type potentials, II: existence and multiplicity

被引：0

作者：

Chen, Jianqing ^{[1
]}

Chen, Zhewen ^{[1
]}

机构：

[1] SUSTAINABLE CHEMISTRY AND PHARMACY

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1600年 / 0卷 / 11期

关键词：

Normalized ground state; Mountain-pass theorem; Multiplicity; Van der Waals type potentials; Brezis-Nirenberg-type problem; SCHRODINGER-EQUATIONS; STANDING WAVES; GROUND-STATES;

D O I：

SUSTAIN CHEM PHARM

中图分类号：

学科分类号：

摘要：

In this paper, we focus on the multiplicity of normalized solutions for a Hardy-Littlewood-Sobolev upper critical Schr & ouml;dinger equation with van der Waals type potentials (two-body potentials with different width, see (Cao et al. in J Differ Equ 276:228-263, 2021)) -Delta u = lambda u + mu(I-alpha*|u|(p))|u|(p-2)u+(I-beta*|u|(2)(beta)*)|u|(2)(beta)*(-2)u in R-N, integral(N)(R) |u|(2) = a>0, where N >= 3, mu > 0, N + alpha/N < p < N+alpha+2/N, 03P and nano-ZSM-5

引用

页数：44

共 33 条

[1] Normalized solutions to Brezis-Nirenberg-type problem for a Schrödinger equation with van der Waals type potentials, II: existence and multiplicity
Chen, Jianqing
Chen, Zhewen
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2025, 76 (02):
[2] NORMALIZED SOLUTIONS TO BREZIS-NIRENBERG TYPE PROBLEM FOR A SCHRODINGER EQUATION WITH VAN DER WAALS TYPE POTENTIALS, I: MASS SUPERCRITICAL AND STRONG INSTABILITY
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Chen, Zhewen
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DIFFERENTIAL AND INTEGRAL EQUATIONS, 2025, 44
[3] NORMALIZED SOLUTIONS TO BREZIS-NIRENBERG TYPE PROBLEM FOR A SCHRODINGER EQUATION WITH VAN DER WAALS TYPE POTENTIALS, I: MASS SUPERCRITICAL AND STRONG INSTABILITY
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[4] Normalized Solutions for a SchröDinger Equation With Van Der Waals Type Potentials and External Potential: Mass Supercritical
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[6] Existence of multiple solutions for the Brezis-Nirenberg-type problem with singular coefficients
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[7] On the existence of multiple solutions for fractional Brezis-Nirenberg-type equations
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[8] Multiplicity of Normalized Solutions for the Fractional Schrödinger Equation with Potentials
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Zhang, Jianjun
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[9] Existence of Multiple Positive Solutions for Brezis-Nirenberg-Type Problems Involving Singular Nonlinearities
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[10] Existence of concentrating solutions of the Hartree type Brezis-Nirenberg problem
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