Results 61 to 70 of about 1,686 (103)

Renormalized solutions for a p(·)-Laplacian equation with Neumann nonhomogeneous boundary condition involving diffuse measure data and variable exponent

Moroccan Journal of Pure and Applied Analysis, 2022
In this paper we prove the existence of at least one renormalized solution for the p(x)-Laplacian equation associated with a maximal monotone operator and Radon measure data. The functional setting involves Sobolev spaces with variable exponent W1,p(·)(Ω)
Benboubker M. B., Nassouri E., Ouaro S., Traoré U.   +3 more
doaj   +1 more source

Ground state solution of a noncooperative elliptic system

, 2013
In this paper, we study the existence of a ground state solution, that is, a non trivial solution with least energy, of a noncooperative semilinear elliptic system on a bounded domain.
Batkam, Cyril Joel
core   +1 more source

Computing the lower and upper bounds of Laplace eigenvalue problem: by combining conforming and nonconforming finite element methods

, 2011
This article is devoted to computing the lower and upper bounds of the Laplace eigenvalue problem. By using the special nonconforming finite elements, i.e., enriched Crouzeix-Raviart element and extension $Q_1^{\rm rot}$, we get the lower bound of the ...
C. Yao, F. Chatelin, FuSheng Luo, G. Stang, H. P. Liu, H. P. Liu, HeHu Xie, I. Babuška, I. Babuška, J. C. Xu, J. Hu, K. Feng, M. Armentano, P. Ciarlet, Q. Lin, Q. Lin, Q. Lin, Q. Lin, Qun Lin, R. Rannacher, Y. A. Li, Y. A. Li, Y. D. Yang, Y. D. Yang, Y. D. Yang, Z. M. Zhang   +25 more
core   +1 more source

A-priori Estimates Near the Boundary for Solutions of a class of Degenerate Elliptic Problems in Besov-type Spaces

Moroccan Journal of Pure and Applied Analysis, 2017
In this paper, we give a priori estimates near the boundary for solutions of a degenerate elliptic problems in the general Besov-type spaces Bp,qs,τ$B_{p,q}^{s,\tau }$, containing as special cases: Goldberg space bmo, local Morrey-Campanato spaces l2,λ ...
El Baraka Azzeddine, Masrour Mohammed
doaj   +1 more source

The exterior Dirichlet problem for the homogeneous complex k-Hessian equation

Advanced Nonlinear Studies, 2023
In this article, we consider the homogeneous complex kk-Hessian equation in an exterior domain Cn⧹Ω{{\mathbb{C}}}^{n}\setminus \Omega . We prove the existence and uniqueness of the C1,1{C}^{1,1} solution by constructing approximating solutions.
Gao Zhenghuan, Ma Xinan, Zhang Dekai
doaj   +1 more source

On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces

Moroccan Journal of Pure and Applied Analysis, 2019
We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω).
Haji Badr El, Moumni Mostafa El, Kouhaila Khaled   +2 more
doaj   +1 more source

A symmetrization result for a class of anisotropic elliptic problems

, 2017
We prove estimates for weak solutions to a class of Dirichlet problems associated to anisotropic elliptic equations with a zero order term.Comment: arXiv admin note: text overlap with arXiv:1607 ...
Alberico, Angela, di Blasio, Giuseppina, Feo, Filomena   +2 more
core   +1 more source

Dynamic behavior analysis of a prey-predator model with ratio-dependent Monod-Haldane functional response

Open Mathematics, 2018
This paper investigates the dynamic behavior analysis on the prey-predator model with ratio-dependent Monod-Haldane response function under the homogeneous Dirichlet boundary conditions, which is used to simulate a class of biological system.
Feng Xiaozhou, Song Yi, An Xiaomin
doaj   +1 more source

On Bobkov-Tanaka type spectrum for the double-phase operator

Advanced Nonlinear Studies
Moving from the seminal papers by Bobkov and Tanaka [“On positive solutions for (p, q)-Laplace equations with two parameters,” Calc. Var. Partial Differ. Equ., vol. 54, pp.
Gambera Laura, Guarnotta Umberto
doaj   +1 more source

Talenti comparison results and rigidity results for anisotropic p-Laplacian operator with Robin boundary conditions

Advanced Nonlinear Studies
In this paper, we first establish the Talenti comparison principle for anisotropic p-Laplacian equation with Robin boundary conditions. This achievement not only extends classical Talenti comparison result for Laplacian equation with Robin boundary ...
Chen Lu, Yang Yabo
doaj   +1 more source