Results 61 to 70 of about 95,301 (251)

On Optimal Control Problem in Coefficients for Nonlinear Elliptic Variational Inequalities

Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2011
In this paper we study an optimal control problem for a nonlinear elliptic variational inequality with generalized solenoidal coefficients which we adopt as controls in L°°(fi). We prove the existence of optimal solution of the stated problem.
O. P. Kogut
doaj   +1 more source

Failure characteristics and the energy criterion of rock with a through‐going joint under true‐triaxial unloading conditions: Insights from the DEM model

Deep Underground Science and Engineering, EarlyView.
The rock failure mode is significantly influenced by the contributing factors, such as the joint inclination, the initial confining pressure, and the unloading point. We found six typical rock failure modes after a large number of numerical tests. Abstract Excavation unloading damages rock masses, with preferential failure along geological defects in ...
Fei Liu, Changhui Liang, Sijia Liu, Yongjun Zhang, Luo Wang   +4 more
wiley   +1 more source

Operatori ellittici massiminimanti

Le Matematiche, 1996
In the theory of second order elliptic equations, in non divergence form, two non linear elliptic operators, which are non convex with respect to the second derivatives, are studied.
Cristina Giannotti
doaj  

Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem

International Journal of Differential Equations, 2013
We prove the existence and uniqueness of entropy solution for nonlinear anisotropic elliptic equations with Neumann homogeneous boundary value condition for -data.
B. K. Bonzi, S. Ouaro, F. D. Y. Zongo
doaj   +1 more source

Generalized Matsuoka–Nakai criterion considering hydrostatic pressure dependence in the brittle–ductile region

Deep Underground Science and Engineering, EarlyView.
Three sets of strength data were selected, including hydrostatic pressure independent within the brittle region (HPI‐B), hydrostatic pressure dependent within the brittle region (HPD‐B), and hydrostatic pressure dependent within the brittle–ductile region (HPD‐BD). For HPI type, the failure envelope within the deviatoric plane remains constant.
Jiacun Liu, Junjie Xiao, Dongping Liu, Ying Xu   +3 more
wiley   +1 more source

A unique continuation property for linear elliptic systems and nonresonance problems

Electronic Journal of Differential Equations, 2001
The aim of this paper is to study the existence of solutions for a quasilinear elliptic system where the nonlinear term is a Caratheodory function on a bounded domain of $mathbb{R}^N$, by proving the well known unique continuation property for elliptic ...
A. Anane, O. Chakrone, Z. El Allali, I. Hadi   +3 more
doaj  

Nonlinear resonant problems with an indefinite potential and concave boundary condition

Electronic Journal of Qualitative Theory of Differential Equations, 2020
We consider a nonlinear elliptic problem driven by the $p$-Laplacian plus and indefinite potential term. The reaction is $(p-1)$-linear and resonant and the boundary term is concave. The problem is nonparametric.
Nikolaos Papageorgiou, Andrea Scapellato
doaj   +1 more source

Elliptic Problems with Nonlinearities Indefinite in Sign

Journal of Functional Analysis, 1996
The authors study the semilinear Dirichlet problem \[ -\Delta u= \lambda u+k(x) u^q-h(x)u^p\quad\text{ in } \Omega, \quad u=0 \text{ on } \partial\Omega. \tag{1} \] Here, \(\Omega \subset \mathbb{R}^n\), \(n\geq 3\), is a bounded, smooth domain, \(k,h\in L^1\) are nonnegative functions and \(1 \lambda^*\) problem (1) admits a positive weak solution in \
Alama, Stanley, Tarantello, Gabriella
openaire   +1 more source

Gaborlet‐guided sparse filtering: A novel intelligent method for lithology identification by vibration signals while drilling

Deep Underground Science and Engineering, EarlyView.
The flowchart illustrates rock specimen testing, vibration signal acquisition, and feature extraction with Gaborlet and sparse filtering for classification. Abstract Traditional lithology identification methods mainly rely on core sampling and well‐logging data.
Jian Hao, Danqi Zhang, Zhenqi Song, Jinrui Wang, Qi Wang, Heqing Liu   +5 more
wiley   +1 more source

Existence theorems for nonlinear elliptic problems

Journal of Inequalities and Applications, 2001
In this paper we prove two theorems for noncoercive elliptic boundary value problems using the critical point theory of Chang and the subdifferentiable of Clarke.
Halidias Nikolaos
doaj