Results 81 to 90 of about 151 (130)

Existence of positive solutions for p(x)-Laplacian equations with a singular nonlinear term

Electronic Journal of Differential Equations, 2014
In this article, we study the existence of positive solutions for the p(x)-Laplacian Dirichlet problem $$ -\Delta _{p(x)}u=\lambda f(x,u) $$ in a bounded domain $\Omega \subset \mathbb{R}^{N}$.
Jingjing Liu, Qihu Zhang, Chunshan Zhao
doaj  

Sub-supersolutions method for singular quasilinear systems involving gradient terms

International Journal of Dynamical Systems and Differential Equations
Existence, regularity and location of solutions to quasilinear singular elliptic systems with general gradient dependence are established developing a method of sub-supersolution. The abstract theorems involving sub-supersolutions are applied to prove the existence of positive solutions for convective and absorption singular systems.
openaire   +2 more sources

The sub-supersolution method for Kirchhoff systems: applications [PDF]

, 2015
Giovany M. Figueiredo, Antonio Suárez
openaire   +1 more source

Existence and uniqueness of a positive solution to a rapidly growing problem via sub-supersolution method

Proceedings of the Edinburgh Mathematical Society
Abstract In this paper, we study the validity of the sub-supersolution method for the equation \begin{equation*}\begin{cases}-\mbox{div}(K(x)\nabla u)=K(x)|x|^{\alpha-2}f(x,u) \,\mbox{in } {\mathbb{R}}^{N},\\u \gt 0 ...
Giovany Figueiredo, Cristian Morales-Rodrigo, Antonio Suárez   +2 more
openaire   +1 more source

A sub-supersolution method for a class of nonlocal system involving the p(x)-Laplacian operator and applications

, 2017
In the present paper we study the existence of solutions for a class of nonlocal system involving the p(x)-Laplacian operator. The approach is based on a new sub-supersolution result.
Santos, Gelson C. G. dos, Figueiredo, Giovany M., Tavares, Leandro S.   +2 more
openaire   +2 more sources

Propagation of Epidemics Along Lines with Fast Diffusion. [PDF]

Bull Math Biol, 2020
Berestycki H, Roquejoffre JM, Rossi L.
europepmc   +1 more source

Ion Channels and Ionotropic Receptors in Astrocytes: Physiological Functions and Alterations in Alzheimer's Disease and Glioblastoma. [PDF]

Life (Basel), 2023
Lia A, Di Spiezio A, Vitalini L, Tore M, Puja G, Losi G.   +5 more
europepmc   +1 more source

Infinite semipositone problems with indefinite weight and asymptotically linear growth forcing-terms

Electronic Journal of Differential Equations, 2013
In this work, we study the existence of positive solutions to the singular problem $$displaylines{ -Delta_{p}u = lambda m(x)f(u)-u^{-alpha} quad hbox{in }Omega,cr u = 0 quad hbox{on }partial Omega, }$$ where $lambda$ is positive parameter, $Omega $
Ghasem A. Afrouzi, Saleh Shakeri
doaj  

Existence and multiplicity of solutions to superlinear periodic parabolic problems

Electronic Journal of Differential Equations, 2018
Let $\Omega\subset\mathbb{R}^{N}$ be a smooth bounded domain and let a,b,c be three (possibly discontinuous and unbounded) T-periodic functions with $c\geq0$.
Tomas Godoy, Uriel Kaufmann
doaj  

Oscillatory Carreau flows in straight channels. [PDF]

R Soc Open Sci, 2020
Tabakova S, Kutev N, Radev S.
europepmc   +1 more source