In this paper, we prove the existence and uniqueness of solution to a Dirichlet boundary
value problems for the following nonlinear degenerate elliptic equation-div [ω 1 A (x,∇ u)+ ω …

In this paper, we study the existence and uniqueness of weak solution to a Dirichlet
boundary value problems for the following nonlinear degenerate elliptic problems\begin …

Existence result for a general nonlinear degenerate elliptic problems with measure datum in
weighted Sobolev spaces Page 5 Existence Result for a General Nonlinear Degenerate …

In various applications, we can meet boundary value problems for elliptic equations whose
ellipticity is disturbed in the sense that some degeneration or singularity appears. This bad …

We perform some 3D numerical experiments for the approximation of the solutions to a bead
type thermistor problem. We consider the case of a diagonal anisotropic diffusion matrix …

In this paper we investigate regularity properties of weak solutions to a PDE system that
arises in the study of biological transport networks. The system consists of a possibly …

In this paper we study partial regularity of weak solutions to the initial boundary value
problem for the system-div\left (I+ m ⊗ m) ∇ p\right= S (x),\∂ _t mD^ 2 Δ mE^ 2 (m ⋅ ∇ p) ∇ …

In this paper, we prove the existence and uniqueness of weak solution for a nonlinear
degenerate Navier problem involving the weighted biharmonic operator of the following …

The Navier problem involving the p-biharmonic and the Leray-Lions operators with weights
is considered in this paper. Using the theory of weighted Sobolev spaces and the Browder …

In this paper we present some regularity results for solutions to the system− Δu= σ (u)|∇ φ|
2, div (σ (u)∇ φ)= 0 in the case where σ (u) is allowed to oscillate between 0 and a positive …