Results 21 to 30 of about 502 (154)

Existence and uniqueness results of positive solutions for nonvariational quasilinear elliptic systems

Electronic Journal of Differential Equations, 2006
We provide conditions for the existence and uniqueness of positive solutions to the quasilinear elliptic system $$displaylines{ -Delta _{p}u=f(x,u,v) cr -Delta _{q}v=g(x,u,v) }$$ with Dirichlet boundary conditions on a bounded domain $Omega
Dimitrios A. Kandilakis, Nikolaos E. Sidiropoulos   +1 more
doaj   +1 more source

Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system [PDF]

, 2023
summary:This paper deals with a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system. Boundedness, stabilization and blow-up in this system of the fully parabolic and parabolic-elliptic-elliptic versions have already been ...
Chiyo, Yutaro
core   +1 more source

Multiple positive solutions for quasilinear elliptic systems

Electronic Journal of Differential Equations, 2013
In this article, we investigate how the coefficient $f(z)$ affects the number of positive solutions of the quasilinear elliptic system $$displaylines{ -Delta_{p}u =lambda g(z)|u|^{q-2}u+frac{alpha}{alpha+eta} f(z)|u|^{alpha-2}u|v|^{eta} quadhbox{in ...
Qin Li, Zuodong Yang
doaj   +1 more source

High precision compact numerical approximation in exponential form for the system of 2D quasilinear elliptic BVPs on a discrete irrational region

MethodsX, 2022
This article presents a new approximation of order four in exponential form for two-dimensional (2D) quasilinear partial differential equation (PDE) of elliptic form with solution domain being irrational.
R.K. Mohanty, Nikita Setia, Gunjan Khurana, Geetan Manchanda   +3 more
doaj   +1 more source

Singular quasilinear elliptic systems involving gradient terms [PDF]

, 2020
In this paper we establish the existence of at least one smooth positive solution for a singular quasilinear elliptic system involving gradient terms.
Candito P., Livrea R., Moussaoui A.
core   +1 more source

Quasilinear elliptic systems [PDF]

Annali di Matematica Pura ed Applicata (1923 -), 1978
The quasilinear elliptic system $$\sum\limits_{l{\text{ = 1}}}^n {\frac{\partial }{{\partial x_l }}\left\{ {\sum\limits_{j = 1}^N {\sum\limits_{m = 1}^n {C_{ij}^{lm} [x,U]\frac{{\partial U^j }}{{\partial x_m }} + B_i^l [x,U]} } } \right\} + F_i [x,U] = 0} $$
openaire   +1 more source

Bifurcation results for quasilinear elliptic systems

Advances in Differential Equations, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stavrakakis, N. M., Zographopoulos, N. B.   +1 more
openaire   +3 more sources

Nontrivial solutions for a quasilinear elliptic system [PDF]

Boundary Value Problems, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng, Xiyou, Yang, Lu
openaire   +2 more sources

Regularity of weak solutions to obstacle problems for nondiagonal quasilinear degenerate elliptic systems

Journal of Inequalities and Applications, 2019
Let X={X1,…,Xm} $X=\{X_{1} ,\ldots ,X_{m} \}$ be a system of smooth real vector fields satisfying Hörmander’s rank condition. We consider the interior regularity of weak solutions to an obstacle problem associated with the nonhomogeneous nondiagonal ...
Guangwei Du, Kelei Zhang, Yan Dong
doaj   +1 more source

On quasilinear elliptic systems of diagonal form

Mathematische Zeitschrift, 1980
exaly   +3 more sources