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Properties of solutions to some weighted ρLlaplacian equation

Garain Prashanta

Opuscula Mathematica

2020

Vol. 40, no. 4

483--494

In this paper, we prove some qualitative properties for the positive solutions to some degenerate elliptic equation given by [formula] on smooth domain and for varying nonlinearity ∫.

Antiplane strain (shear) of orthotropic non-homogeneous prismatic shell-like bodies

Chinchaladze N., Jaiani G.

Archives of Mechanics

2017

Vol. 69, nr 4-5

305--316

Antiplane strain (shear) of orthotropic non-homogeneous prismatic shell-like bodies are considered when the shear modulus depending on the body projection (i.e., on a domain lying in the plane of interest) variables may vanish either on a part or on the entire boundary of the projection. We study the dependence of the well-posedness of the boundary conditions (BCs) on the character of the vanishing of the shear modulus. The case of vibration is considered as well.

Existence results for Dirichlet problems with degenerated p-Laplacian

Cavalheiro A. C

Opuscula Mathematica

2013

Vol. 33, no. 3

439--453

In this article, we prove the existence of entropy solutions for the Dirichlet problem [formula] where Ω is a bounded open set of [formula].