Solutions for a class of p-Laplace equations with potentials in RN

被引：1

作者：

Wu, Mingzhu ^{[1
]}

Yang, Zuodong ^{[1
,2
]}

机构：

[1] Nanjing Normal Univ, Inst Math, Sch Math & Comp Sci, Nanjing 210097, Jiangsu, Peoples R China

[2] Nanjing Normal Univ, Coll Zhongbei, Nanjing 210046, Jiangsu, Peoples R China

来源：

APPLICABLE ANALYSIS | 2009年 / 88卷 / 12期

基金：

中国国家自然科学基金;

关键词：

existence; concentration-compactness; p-Laplace; constrained minimization; NONLINEAR SCHRODINGER-EQUATIONS; SCALAR FIELD-EQUATIONS; CRITICAL FREQUENCY; STANDING WAVES; BOUND-STATES; EXISTENCE;

D O I：

10.1080/00036810903397461

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The p-Laplace equation with potentials [image omitted] where V C(RN, R), infRN V(x) 0 and q epsilon 1, N epsilon p epsilon 2 were studied. Under proper conditions on V, we obtain the existence of solutions.

引用

页码：1755 / 1762

页数：8

共 50 条

[1] EXISTENCE OF POSITIVE AND SIGN-CHANGING SOLUTIONS FOR p-LAPLACE EQUATIONS WITH POTENTIALS IN RN
Wu, Mingzhu
Yang, Zuodong
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[2] EXISTENCE AND CONCENTRATION OF SOLUTIONS FOR A p-LAPLACE EQUATION WITH POTENTIALS IN RN
Wu, Mingzhu
Yang, Zuodong
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[3] EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF THE P-LAPLACE EQUATIONS
HUANG, YX
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1994, 36 : 249 - 264
[4] Infinitely Many Solutions to a Class of p-Laplace Equations
Yi-Hua Deng
[J]. Acta Mathematicae Applicatae Sinica, English Series, 2019, 35 : 770 - 779
[5] Infinitely Many Solutions to a Class of p-Laplace Equations
Deng, Yi-Hua
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2019, 35 (04): : 770 - 779
[6] Infinitely Many Solutions to a Class of p-Laplace Equations
Yi-Hua DENG
[J]. Acta Mathematicae Applicatae Sinica, 2019, 35 (04) : 770 - 779
[7] Semi-stable radial solutions of p-Laplace equations in RN
Angel Navarro, Miguel
Villegas, Salvador
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 149 : 111 - 116
[8] SOLUTIONS TO A CLASS OF PARABOLIC INHOMOGENEOUS NORMALIZED p-LAPLACE EQUATIONS
刘芳
[J]. Acta Mathematica Scientia, 2015, (02) : 477 - 494
[9] LAYERED SOLUTIONS IN R 2 FOR A CLASS OF p-LAPLACE EQUATIONS
Zhou, Zheng
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2010, 9 (03) : 819 - 837
[10] SOLUTIONS TO A CLASS OF PARABOLIC INHOMOGENEOUS NORMALIZED p-LAPLACE EQUATIONS
Liu, Fang
[J]. ACTA MATHEMATICA SCIENTIA, 2015, 35 (02) : 477 - 494

← 1 2 3 4 5 →