Infinitely many bounded solutions for the p-Laplacian with nonlinear boundary conditions

被引：0

作者：

Francesca Faraci

Antonio Iannizzotto

Csaba Varga

机构：

[1] University of Catania,Department of Mathematics and Computer Sciences

[2] Babeş-Bolyai University,Faculty of Mathematics and Computer Sciences

来源：

Monatshefte für Mathematik | 2011年 / 163卷

关键词：

-Laplacian; Nonlinear boundary conditions; Infinitely many solutions; Critical points; 35J20; 35J65;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

By applying a method due to Saint Raymond, we prove the existence of infinitely many weak solutions for a quasilinear elliptic partial differential equation, involving the p-Laplacian operator, coupled with a nonlinear boundary condition. Our main assumption is a suitable oscillatory behaviour of the nonlinearity either at infinity or at zero.

引用

页码：25 / 38

页数：13

共 50 条

[41] A uniqueness result for a p-Laplacian infinite semipositone problem involving nonlinear boundary conditions
Hai, D. D.
Nichols, D.
Shivaji, R.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 528 (01)
[42] Infinitely many solutions for a new class of Schrodinger-Kirchhoff type equations in RN involving the fractional p-Laplacian
Hamdani, Mohamed Karim
Chung, Nguyen Thanh
Bayrami-Aminlouee, Masoud
JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2021, 7 (01) : 243 - 267
[43] Global existence, nonexistence, and decay of solutions for a wave equation of p-Laplacian type with weak and p-Laplacian damping, nonlinear boundary delay and source terms
Boumaza, Nouri
Gheraibia, Billel
ASYMPTOTIC ANALYSIS, 2022, 129 (3-4) : 577 - 592
[44] A quasilinearization method for p-Laplacian equations with a nonlinear boundary condition
Afrouzi, G. A.
Alizadeh, M.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 2829 - 2833
[45] The stability of the solutions of an equation related to the p-Laplacian with degeneracy on the boundary
Huashui Zhan
Boundary Value Problems, 2016
[46] NONLINEAR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN WITH MIXED DIRICHLET-NEUMANN BOUNDARY CONDITIONS
Bonanno, Gabriele
D'Agui, Giuseppina
Sciammetta, Angela
OPUSCULA MATHEMATICA, 2019, 39 (02) : 159 - 174
[47] A priori estimates for the vector p-Laplacian with potential boundary conditions
George Dincǎ
Petru Jebelean
Archiv der Mathematik, 2008, 90 : 60 - 69
[48] Infinitely Many Solutions for the Fractional p&q-Laplacian Problems in RN
Wang, Liyan
Chi, Kun
Shen, Jihong
Ge, Bin
SYMMETRY-BASEL, 2022, 14 (12):
[49] Infinitely many periodic solutions for ordinary p(t)-Laplacian differential systems
Liu, Chungen
Zhong, Yuyou
ELECTRONIC RESEARCH ARCHIVE, 2022, 30 (05): : 1653 - 1667
[50] Existence of infinitely many solutions for fractional p-Laplacian Schrödinger–Kirchhoff type equations with sign-changing potential
Youpei Zhang
Xianhua Tang
Jian Zhang
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 569 - 586

← 1 2 3 4 5 →