Results 101 to 110 of about 19,228,694 (296)

Some Liouville Theorems for the p-Laplacian

Electronic Journal of Differential Equations, 2001
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BIRINDELLI, Isabella, F. DEMENGEL
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Asymmetric critical p-Laplacian problems [PDF]

Calculus of Variations and Partial Differential Equations, 2018
We obtain nontrivial solutions for two types of critical $p$-Laplacian problems with asymmetric nonlinearities in a smooth bounded domain in ${\mathbb R}^N,\, N \ge 2$. For $p < N$, we consider an asymmetric problem involving the critical Sobolev exponent $p^\ast = Np/(N - p)$.
Yang Yang, Kanishka Perera, Zhitao Zhang
openaire   +3 more sources

System of degenerate parabolic p-Laplacian

Open Mathematics
In this article, we study the mathematical properties of the solution u=(u1,…,uk){\bf{u}}=({u}^{1},\ldots ,{u}^{k}) to the degenerate parabolic system ut=∇⋅(∣∇u∣p−2∇u),(p>2).{{\bf{u}}}_{t}=\nabla \hspace{0.25em}\cdot \hspace{0.25em}({| \nabla {\bf{u}}| }^
Kim Sunghoon, Lee Ki-Ahm
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Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and p-Laplacian operator

Boundary Value Problems, 2017
In this paper, we investigate the existence of positive solutions for a system of nonlinear fractional differential equations nonlocal boundary value problems with parameters and p-Laplacian operator.
Xinan Hao, Huaqing Wang, Lishan Liu, Yujun Cui   +3 more
semanticscholar   +1 more source

Nodal properties for p-Laplacian systems

Electronic Journal of Differential Equations, 2017
We consider a system of differential equations involving the p-Laplacian. We prove the existence of oscillatory solutions with prescribed numbers of zeros, and show that the solutions satisfy the Dirichlet boundary conditions when the large parameters
Yan-Hsiou Cheng, Wei-Chuan Wang
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A weighted networked eco-epidemiological model with nonlinear $ p\, $-Laplacian

AIMS Mathematics
This paper investigates a eco-epidemiological model with a graph $ p\, $-Laplacian $ (p\geq 2) $. We first overcome the difficulties caused by the nonlinearity of the $ p\, $-Laplacian and show the existence and uniqueness of the global solution to the ...
Ling Zhou, Guoqing Ding, Zuhan Liu
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Existence theorems and Hyers-Ulam stability for a class of Hybrid fractional differential equations with $p$-Laplacian operator

, 2018
In this paper, we prove necessary conditions for existence and uniqueness of solution (EUS) as well Hyers-Ulam stability for a class of hybrid fractional differential equations (HFDEs) with p-Laplacian operator.
H. Khan, C. Tunç, Wen Chen, Aziz Khan
semanticscholar   +1 more source

On the fundamental eigenvalue ratio of the p-Laplacian

Bulletin des Sciences Mathématiques, 2007
It is shown that the fundamental eigenvalue ratio _2 / _1 of the p-Laplacian is bounded by a quantity depending only on the dimension N and p.
Jacqueline Fleckinger, François de Thélin, Evans M. Harrell   +2 more
openaire   +3 more sources

Competing anisotropic and Finsler ( p , q ) $(p,q)$ -Laplacian problems

Boundary Value Problems
The aim of this paper is to prove the existence of generalized variational solutions for nonlinear Dirichlet problems driven by anisotropic and Finsler Laplacian competing operators.
Dumitru Motreanu, Abdolrahman Razani
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Asymmetric critical fractional p-Laplacian problems

Electronic Journal of Differential Equations, 2017
We consider the asymmetric critical fractional p-Laplacian problem $$\displaylines{ (-\Delta)^s_p u = \lambda |u|^{p-2} u + u^{p^\ast_s - 1}_+,\quad \text{in } \Omega;\cr u = 0, \quad \text{in } \mathbb{R}^N\setminus\Omega; }$$ where $\lambda>0 ...
Li Huang, Yang Yang
doaj