Results 91 to 100 of about 502 (154)

Research Article Multiple Solutions for a Singular Quasilinear Elliptic System

, 2020
We consider the multiplicity of nontrivial solutions of the following quasilinear elliptic system −div where , > 0, 1 < < , 1 < < < + < * = /( − ), 0 ≤ < ( − )/ , ≤ < + 1, = + 1 − > 0. The functions 1 ( ), 2 ( ), ( ), ℎ 1 ( )
Lin Chen, Zonghu Xiu, H Khani, Caisheng Chen, Xu   +4 more
core  

Positive solutions to a coupled singular anisotropic system with nonstandard growth and singular nonlinearities

Boundary Value Problems
This paper studies a singular anisotropic system of coupled quasilinear elliptic equations. The system features anisotropic diffusion operators with variable exponents p i $p_{i}$ and q i $q_{i}$ , singular terms of the form v − γ 1 $v^{-\gamma _{1 ...
Seyedeh Atefeh Fallahshams, Abdolrahman Razani   +1 more
doaj   +1 more source

Estimates for critical groups of solutions to quasilinear elliptic systems. [PDF]

Electronic Journal of Differential Equations, 2003
In this work we study a class of functionals, defined on Banach spaces, associated with quasilinear elliptic systems. Firstly, we prove some regularity results about the critical points of such functionals and then we estimate the critical groups in each critical point via its Morse index.
Carmona, José, Cingolani, Silvia, Vannella, Giuseppina   +2 more
openaire   +3 more sources

Partial regularity for quasilinear nonuniformly elliptic systems

, 1993
We prove the partial regularity of the weak solutions of the quasilinear nonuniformely elliptic system div(A(∇u))=0 under an ellipticity condition which lies between strong ellipticity and Legendre-Hadamard ...
Ivanov, Alexandre V., Frasca, Michele
core  

Probabilistic interpretation of a system of quasilinear elliptic partial differential equations under Neumann boundary conditions

, 1993
A probabilistic interpretation of a system of second order quasilinear elliptic partial differential equations under a Neumann boundary condition is obtained by introducing a kind of backward stochastic differential equations in the infinite horizon case.
Hu, Ying
core   +1 more source

Quasilinear Elliptic Cooperative and Competitive Systems

We study the existence and multiplicity of weak solutions for the following quasilinear elliptic system: \[ \begin{cases} -\mathrm{div}(A_1(x,u_1)\nabla u_1) + \displaystyle\frac{1}{2} D_{u_1}A_1(x,u_1)\nabla u_1 \cdot \nabla u_1 = λ_1 u_1 + g_{β,1}(u) & \text{in } Ω, \\[3mm] -\mathrm{div}(A_2(x,u_2)\nabla u_2) + \displaystyle\frac{1}{2} D_{u_2}A_2(
Canino, Annamaria, Mauro, Simone
openaire   +2 more sources

Radial solutions for a quasilinear elliptic system of Schrödinger type

Computers & Mathematics with Applications, 2013
10 ...
openaire   +3 more sources

Existence of solutions for non-uniformly nonlinear elliptic systems

Electronic Journal of Differential Equations, 2011
Using a variational approach, we prove the existence of solutions for the degenerate quasilinear elliptic system $$displaylines{ -hbox{div}(u_1 (x)|abla u|^{p-2} abla u) =lambda F_u(x,u,v)+mu G_u(x,u,v),cr -hbox{div}(u_2 (x)|abla v|^{q-2} abla v ...
Ghasem Alizadeh Afrouzi, Somayeh Mahdavi, Nikolaos B. Zographopoulos   +2 more
doaj  

On the strong maximum principle for quasilinear elliptic equations and systems

Advances in Differential Equations, 2002
CMM
Felmer, Patricio L., Quaas, Alexander
openaire   +5 more sources

The effects of heat exchange and fluid production on the ignition of a porous solid

, 2008
In this paper we study a system of nonlinear parabolic equations representing the evolution of small perturbations in a modeldescribing the combustion of a porous solid.
McIntosh, A.C., Brindley, J., Shah, Akeel A., McIntosh, A. C., Rademacher, Jens, Rademacher, J.D.M. (Jens), Shah, A.A., McIntosh, A., Rademacher, J.   +8 more
core   +1 more source