Results 61 to 70 of about 1,706 (121)

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

Remarks on Neumann boundary problems involving Jacobians

, 2017
In this short note we explore the validity of Wente-type estimates for Neumann boundary problems involving Jacobians. We show in particular that such estimates do not in general hold under the same hypotheses on the data for Dirichlet boundary ...
Da Lio, Francesca, Palmurella, Francesco
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

Some remarks on the comparison principle in Kirchhoff equations [PDF]

, 2018
In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting some previous results.
Malcher Figueiredo, Giovany de Jesus, Suárez Fernández, Antonio   +1 more
core  

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

Hopf's lemma for a class of singular/degenerate PDE-s

, 2014
This paper concerns Hopf's boundary point lemma, in certain $C^{1,Dini}$-type domains, for a class of singular/degenerate PDE-s, including $p$-Laplacian.
Mikayelyan, Hayk, Shahgholian, Henrik
core   +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

The existence and asymptotic behavior of large solutions to the k-Hessian equations with nonlinear gradient terms

Advances in Nonlinear Analysis
In this paper, we establish the first- and second-order asymptotic behaviors (expansions) of boundary blow-up solutions to the k-Hessian problem Sk(D2u)=b(x)f(u)C0+∇u2q/2 in Ω,u=+∞ on ∂Ω. ${S}_{k}\left({D}^{2}u\right)=b\left(x\right)f\left(u\right){\left(
Wan Haitao
doaj   +1 more source

Continuity results for parametric nonlinear singular Dirichlet problems

Advances in Nonlinear Analysis, 2019
In this paper we study from a qualitative point of view the nonlinear singular Dirichlet problem depending on a parameter λ > 0 that was considered in [32].
Bai Yunru, Motreanu Dumitru, Zeng Shengda   +2 more
doaj   +1 more source

Limiting profile of positive solutions to heterogeneous elliptic BVPs with nonlinear flux decaying to negative infinity on a portion of the boundary

Open Mathematics
This paper ascertains the limiting profile of the positive solutions of heterogeneous logistic elliptic boundary value problems under nonlinear mixed boundary conditions.
Cano-Casanova Santiago
doaj   +1 more source