On a Positive Solution for (p, q)-Laplace Equation with Nonlinear Boundary Conditions and Indefinite Weights

被引：2

作者：

Zerouali, Abdellah ^{[1
]}

Karim, Belhadj ^{[2
]}

Chakrone, Omar ^{[3
]}

Boukhsas, Abdelmajid ^{[4
]}

机构：

[1] Ctr Reg Metiers Educ & Format, Oujda, Morocco

[2] Fac Sci & Tech, Errachidia, Morocco

[3] Fac Sci Oujda, Oujda, Morocco

[4] Fac Sci, Oujda, Morocco

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2020年 / 38卷 / 04期

关键词：

(p; q)-Laplacian; Nonlinear boundary conditions; Indefinite weight; Mountain pass theorem; Global minimizer; GENERALIZED EIGENVALUE PROBLEMS;

D O I：

10.5269/bspm.v38i4.36661

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we study the existence and non-existence results of a positive solution for the Steklov eigenvalue problem driven by nonhomogeneous operator (p, q)-Laplacian with indefinite weights. We also prove, under appropriate conditions, that the results are completely different from those for the usual Steklov eigenvalue problem involving the p-Laplacian with indefinite weight. Precisely, we show that there exists an interval of principal eigenvalues for our Steklov eigenvalue problem.

引用

页码：219 / 233

页数：15

共 18 条

[1] Anane A., 2011, B SOC PARAN MAT, V29, P17
[2] [Anonymous], 1996, VARIATIONAL METHODS, DOI DOI 10.1007/978-3-662-03212-1
[3] [Anonymous], 1979, LECT NOTES BIOMATHEM
[4] Aris R., 1978, RES NOTES MATH
[5] On the solutions of the (p, q)-Laplacian problem at resonance
Benouhiba, Nawel
Belyacine, Zahia
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 77 : 74 - 81
[6] Bonder JF, 2002, PUBL MAT, V46, P221
[7] Li GB, 2009, ACTA MATH SCI, V29, P903
[8] Constant-sign and nodal solutions of coercive (p, q)-Laplacian problems
Marano, Salvatore A.
Papageorgiou, Nikolaos S.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 77 : 118 - 129
[9] Mawhin J., 1989, Critical Point Theory and Hamiltonian Systems, V74
[10] Micheletti A. M., 2002, J DIFFER EQUATIONS, V184, P299

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