‎using nehari manifold methods and mountain pass theorem‎, ‎the existence of nontrivial and radially symmetric solutions for a class of $p$-kirchhoff-type system are established.

The Schwarz Alternating Method can be used to solve elliptic boundary value problems on domains which consist of two or more overlapping subdomains. The solution is approximated by an innnite sequence of functions which results from solving a sequence of elliptic boundary value problems in each of the subdomains. In this paper, proofs of convergence of some Schwarz Alternating Methods for nonli...

In this paper a laminar flow of water on an ice layer subjected to a slip condition is considered numerically. The paper describes a parametric mathematical model to simulate the coupled heat and mass transfer events occurring in moving boundary problems associated with a quasi steady state steady flow process. The discretization technique of the elliptic governing differential equations of mas...

In this paper, we study the controllability of a coupled first-order hyperbolic-elliptic system in interval $ (0, 1) by Dirichlet boundary control acting at left endpoint hyperbolic component only. Using multiplier approach and compactness-uniqueness argument, establish exact for model, any time T>1 $. We explore method moments to conclude critical T = 1 For case small time, that is T<1 $...

Abstract In this article, we study the elliptic system: − Δ u + μ 1 = ∣</m:...

In this paper, under the nonquadraticity condition, we obtain two existence theorems of nontrivial solutions for a coupled system of second and fourth order elliptic equations. Mathematics subject classification (2010): 35J48, 35J50, 35J58.

We show the existence of solution for a strongly coupled elliptic system under three different conditions, namely: the autonomous case, the radial case, and a general case. For the autonomous case, we present a characterization of the solution.

In this paper we will study under which conditions the positive cone, or part of the positive cone, is preserved when solving a weakly coupled system of elliptic partial differential equations. Such a system will be as follows:  −∆1 0 0 . . . 0 0 −∆k   u1 .. uk  =  c11 · · · c1k .. .. ck1 · · · ckk   u1 .. uk +  f1 .. fk  on a bounded domain in IR, with zero Dirichlet bounda...