Mountain pass solutions to equations of p-Laplacian type

被引：87

作者：

De Nápoli, P ^{[1
]}

Mariani, MC ^{[1
]}

机构：

[1] Univ Buenos Aires, Dept Matemat, FCEyN, RA-1428 Buenos Aires, DF, Argentina

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 54卷 / 07期

关键词：

p-Laplacian; multiple solutions; mountain pass theorem; uniform convexity; Clarkson inequality;

D O I：

10.1016/S0362-546X(03)00105-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is devoted to study the existence of solutions to equations of p-Laplacian type. We prove the existence of at least one solution, and under further assumptions, the existence of infinitely many solutions. In order to apply mountain pass results, we introduce a notion of uniformly convex functional that generalizes the notion of uniformly convex norm. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：1205 / 1219

页数：15

共 50 条

[1] p-Laplacian Type Equations Via Mountain Pass Theorem in Cerami Sense
Sousa, J. Vanterler da C.
Nyamoradi, Nemat
Frederico, Gastao F.
[J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (02)
[2] p-Laplacian Type Equations Via Mountain Pass Theorem in Cerami Sense
J. Vanterler da C. Sousa
Nemat Nyamoradi
Gastão F. Frederico
[J]. Qualitative Theory of Dynamical Systems, 2024, 23
[3] Multiple solutions for p-Laplacian type equations
Kristaly, Alexandru
Lisei, Hannelore
Varga, Csaba
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (05) : 1375 - 1381
[4] Singular solutions to p-Laplacian type equations
Kilpeläinen, T
[J]. ARKIV FOR MATEMATIK, 1999, 37 (02): : 275 - 289
[5] Solutions to equations of p-Laplacian type in Lorentz spaces
De Nápoli, P
Mariani, MC
[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2001, 8 (03) : 469 - 477
[6] THREE SOLUTIONS FOR SINGULAR p-LAPLACIAN TYPE EQUATIONS
Yang, Zhou
Geng, Di
Yan, Huiwen
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2008,
[7] POSITIVE PERIODIC SOLUTIONS FOR LIENARD TYPE p-LAPLACIAN EQUATIONS
Meng, Junxia
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[8] Isolated singularities of positive solutions of p-Laplacian type equations in Rd
Fraas, Martin
Pinchover, Yehuda
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 254 (03) : 1097 - 1119
[9] POSITIVE SOLUTIONS FOR p-LAPLACIAN EQUATIONS OF KIRCHHOFF TYPE PROBLEM WITH A PARAMETER
Zhang, Qi
Huang, Jianping
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[10] Homoclinic solutions for Rayleigh type p-Laplacian equations with a deviating argument
Kong F.
Li X.
[J]. Afrika Matematika, 2016, 27 (7-8) : 1213 - 1225

← 1 2 3 4 5 →