An indefinite type equation involving two p-Laplacians

被引：11

作者：

Ramos Quoirin, Humberto ^{[1
]}

机构：

[1] Univ Santiago Chile, Santiago, Chile

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 387卷 / 01期

关键词：

p-Laplacian; Indefinite weight; Nehari manifold;

D O I：

10.1016/j.jmaa.2011.08.074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a problem involving the operators -Delta + W and its p-homogeneous version -Delta(p) + V. The existence of three non-negative solutions is obtained under indefinite type conditions on these operators. To this aim, we proceed by minimization of the energy functional on open parts of the Nehari manifold. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：189 / 200

页数：12

共 50 条

[31] On the Poisson equation of p-Laplacian and the nonlinear Hardy-type problems
Li Ma
Zeitschrift für angewandte Mathematik und Physik, 2021, 72
[32] On the Poisson equation of p-Laplacian and the nonlinear Hardy-type problems
Ma, Li
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 72 (01):
[33] Multiplicity of positive solutions to a p-Laplacian equation involving critical nonlinearity
Alves, CO
Ding, YH
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 279 (02) : 508 - 521
[34] Existence and multiplicity of solutions for a quasilinear equation involving the p(x)-Laplace operator
Saoudi, K.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2017, 62 (03) : 318 - 332
[35] Maximal saddle solution of a nonlinear elliptic equation involving the p-Laplacian
Yan, Huahui
Du, Zhuoran
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2014, 124 (01): : 57 - 65
[36] THE NEHARI MANIFOLD APPROACH FOR DIRICHLET PROBLEM INVOLVING THE p(x)-LAPLACIAN EQUATION
Mashiyev, Rabil A.
Ogras, Sezai
Yucedag, Zehra
Avci, Mustafa
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (04) : 845 - 860
[37] A result on a non-autonomous Kirchhoff type equation involving critical term
Liu, Jiu
Liu, Tao
Pan, Hui-Lan
APPLIED MATHEMATICS LETTERS, 2018, 85 : 82 - 87
[38] The behavior of solutions to an elliptic equation involving a p-Laplacian and a q-Laplacian for large p
Bonheure, Denis
Rossi, Julio D.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 150 : 104 - 113
[39] p-Laplacian and Lienard-type equation
Manasevich, R
Sedziwy, S
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1997, 27 (02) : 611 - 617
[40] Solutions of a (p, q)-Laplacian equation involving a super-linear and a singular terms
Razani, A.
Behboudi, F.
RICERCHE DI MATEMATICA, 2023, 72 (01) : 379 - 397

← 1 2 3 4 5 →