THE SCHR ODINGER-POISSON SYSTEM ON R3 WITH MULTIPLE WEIGHTED CRITICAL EXPONENTS

被引：0

作者：

Du, Yao ^{[1
]}

Su, Jiabao ^{[2
]}

机构：

[1] Xihua Univ, Sch Sci, Chengdu 610039, Peoples R China

[2] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2024年 / 37卷 / 7-8期

关键词：

GROUND-STATE SOLUTIONS; LINEAR ELLIPTIC-EQUATIONS; KLEIN-GORDON-MAXWELL; POSITIVE SOLUTIONS; THOMAS-FERMI; EXISTENCE; SOBOLEV; ATOMS; STABILITY; HARTREE;

D O I：

10.57262/die037-0708-523

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the Schro center dot dinger-Poisson system with the nonlinearity involving multiple weighted critical exponents. The weighted critical exponent may be the He ' non-Sobolev, the Sobolev or the Hardy -Sob olev critical exponent. Moreover, the potentials contained in the Schro center dot dinger-Poisson system are weights of power type, which may be singular at origin or unbounded at infinity. The existence of ground state solutions for the Schro center dot dinger-Poisson system is obtained.

引用

页码：523 / 546

页数：24

共 42 条

[1] Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7
[2] Multiple bound states for the Schrodinger-Poisson problem
Ambrosetti, Antonio
Ruiz, David
[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2008, 10 (03) : 391 - 404
[3] On Schrodinger-Poisson Systems
Ambrosetti, Antonio
[J]. MILAN JOURNAL OF MATHEMATICS, 2008, 76 (01) : 257 - 274
[4] Ground state solutions for the nonlinear Schrodinger-Maxwell equations
Azzollini, A.
Pomponio, A.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (01) : 90 - 108
[5] Benci V., 1998, TOPOLOG METH NONLIN, V11, P283
[6] THE THOMAS-FERMI-VONWEIZSACKER THEORY OF ATOMS AND MOLECULES
BENGURIA, R
BREZIS, H
LIEB, EH
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 79 (02) : 167 - 180
[7] Embedding theorems and existence results for nonlinear Schrodinger-Poisson systems with unbounded and vanishing potentials
Bonheure, Denis
Mercuri, Carlo
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (4-5) : 1056 - 1085
[8] POSITIVE SOLUTIONS OF NON-LINEAR ELLIPTIC-EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS
BREZIS, H
NIRENBERG, L
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1983, 36 (04) : 437 - 477
[9] A RELATION BETWEEN POINTWISE CONVERGENCE OF FUNCTIONS AND CONVERGENCE OF FUNCTIONALS
BREZIS, H
LIEB, E
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 88 (03) : 486 - 490
[10] BINDING OF ATOMS AND STABILITY OF MOLECULES IN HARTREE AND THOMAS-FERMI TYPE THEORIES .1. A NECESSARY AND SUFFICIENT CONDITION FOR THE STABILITY OF GENERAL MOLECULAR-SYSTEMS
CATTO, I
LIONS, PL
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1992, 17 (7-8) : 1051 - 1110

← 1 2 3 4 5 →