Results 41 to 50 of about 2,229 (304)

Gradient regularity for strongly singular or degenerate elliptic and parabolic equations

Bruno Pini Mathematical Analysis Seminar
We present recent advances in the regularity theory for weak solutions to some classes of elliptic and parabolic equations with strongly singular or degenerate structure.
Pasquale Ambrosio
doaj   +1 more source

Uniform estimates for positive solutions of a class of semilinear elliptic equations and related Liouville and one-dimensional symmetry results [PDF]

, 2013
We consider the semilinear elliptic equation $\Delta u = W'(u)$ with Dirichlet boundary conditions in a smooth, possibly unbounded, domain $\Omega \subset \mathbb{R}^n$. Under suitable assumptions on the potential $W$, including the double well potential
Sourdis, Christos
core  

The local boundedness of solutions for a class of degenerate nonlinear elliptic higher-order equations with L1-data

, 2008
We prove local boundedness of solutions for a class of degenerate nonlinear elliptic higher-order equations with L(1 ...
BONAFEDE, Salvatore, NICOLOSI, Filippo
core   +1 more source

Existence of solutions for Navier problems with degenerate nonlinear elliptic equations [PDF]

, 2015
summary:In this paper we are interested in the existence and uniqueness of solutions for the Navier problem associated to the degenerate nonlinear elliptic equations \begin {equation*} \Delta (v(x)\,\vert \Delta u\vert ^{q-2}\Delta u) -\sum _{j=1}^n D_j ...
Cavalheiro, Albo Carlos
core   +1 more source

A Numerical–Experimental Approach for Multi‐Matrix Fiber‐Reinforced Plastics Characterization Using Finite Element Model Updating

Advanced Engineering Materials, EarlyView.
A numerical–experimental framework is developed for characterizing multi‐matrix fiber‐reinforced polymers (MM‐FRPs) combining epoxy and polyurethane matrices. Harmonic bending tests are integrated with finite element model updating (FEMU) to simultaneously identify elastic and viscoelastic material parameters.
Rodrigo M. Dartora, Tales V. Lisbôa, Axel Spickenheuer, Rogério J. Marczak, Jakson M. Vassoler   +4 more
wiley   +1 more source

Regularity of weak solutions to certain degenerate elliptic equations [PDF]

, 2006
summary:In this article we establish the existence of higher order weak derivatives of weak solutions of Dirichlet problem for a class of degenerate elliptic ...
Cavalheiro, Albo Carlos
core  

Productivity‐Driven Optimization of Laser Powder Bed Fusion Parameters for IN718 Superalloy: Process Control, Microstructure, and Mechanical Properties

Advanced Engineering Materials, EarlyView.
This study demonstrates how optimizing laser power, scanning speed, and hatching distance in laser powder bed fusion can boost the productivity of Inconel 718 manufacturing by up to 29% while maintaining mechanical integrity. The work delivers a validated process window and cost–time analysis, offering industry‐ready guidelines for efficient additive ...
Amir Behjat, Guido Barale, John Stavridis, Ehsan Norouzi, Jin‐Yoo Suh, Dong‐Ik Kim, Luca Iuliano, Abdollah Saboori   +7 more
wiley   +1 more source

Matrix weights and regularity for degenerate elliptic equations

Nonlinear Analysis, 2023
We prove local boundedness, Harnack's inequality and local regularity for weak solutions of quasilinear degenerate elliptic equations in divergence form with Rough coefficients. Degeneracy is encoded by a non-negative, symmetric, measurable matrix valued function Q(x) and two suitable non-negative weight functions.
Di Fazio G., Fanciullo M., Monticelli D. D., Rodney S., Zamboni P.   +4 more
openaire   +2 more sources

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source

The Neumann problem for some degenerate elliptic equations [PDF]

, 2006
summary:In the paper we study the equation $Lu=f$, where $L$ is a degenerate elliptic operator, with Neumann boundary condition in a bounded open set ${\Omega }$.
Cavalheiro, Albo Carlos
core   +1 more source