Results 101 to 110 of about 1,011,292 (311)
Electronic Journal of Differential Equations, 1995 classical solution of a Bernoulli-type free boundary problem for the $p$-Laplace equation, $ 1 < p < infty $. In addition, we prove the existence of a classical solution in $N$ dimensions when $p = 2$ and, for $ 1 < p < infty $, results on uniqueness and
A. Acker, R. Meyer
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A Dislocation Perspective on Strength and Toughness in Ceramics
Advanced Engineering Materials, EarlyView.Dislocations in ceramics enjoy a long but yet under‐appreciated history. The three research waves for dislocations in ceramics highlight the topic evolution over the last 90 years. This review focuses on the impact of dislocation on strength and toughness in ceramics.
Xufei Fang
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A parabolic-hyperbolic free boundary problem modeling tumor growth with drug application
Electronic Journal of Differential Equations, 2010 In this article, we study a free boundary problem modeling the growth of tumors with drug application. The model consists of two nonlinear second-order parabolic equations describing the diffusion of nutrient and drug concentration, and three ...
Ji-Hong Zhao
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A minimization problem with free boundary for p-Laplacian weakly coupled system
Advances in Nonlinear AnalysisIn this article, we consider a weakly coupled pp-Laplacian system of a Bernoulli-type free boundary problem, through minimization of a corresponding functional. We prove various properties of any local minimizer and the corresponding free boundary.
Fotouhi Morteza, Shahgholian Henrik
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MathematicsIn this paper, we have undertaken the challenging and novel task of establishing the existence of weak solutions for four types of hyperbolic Kirchhoff-type problems: the classical hyperbolic Kirchhoff problem, the problem with a free boundary, the ...
Fatima Ezahra Bentata +3 more
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Positive solutions for a fourth order boundary value problem
Electronic Journal of Qualitative Theory of Differential Equations, 2005 We consider a boundary value problem for the beam equation, in which the boundary conditions mean that the beam is embedded at one end and free at the other end.
Bo Yang
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Advanced Engineering Materials, EarlyView.This work shows that the mechanical performance of multimaterial digital light processing (DLP) printed thermoset composites is governed by resin compatibility and interfacial design rather than spatial patterning alone. Brittle and ductile resin combinations produced premature interfacial failure, while graded interfaces and mechanically compatible ...
Ahmed M. H. Ibrahim +3 more
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Isoperimetric inequality for an interior free boundary problem with p-laplacian operator
Electronic Journal of Differential Equations, 2004 By considering the p-Laplacian operator, we establish an existence and regularity result for a shape optimization problem. From a monotony result, we show the existence of a solution to the interior problem with a free surface for a family of Bernoulli ...
drissa Ly, Diaraf Seck
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Advanced Engineering Materials, EarlyView.This article presents an experimental and numerical modal investigation of composite sandwich structures using surfboards as model systems. By comparing different core materials and reinforcement strategies, the study demonstrates how local stiffeners influence vibrational response and introduce characteristic modal features, highlighting modal ...
Brett Connellan +4 more
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Advanced Engineering Materials, EarlyView.Experiments and thermophysical simulations were conducted to investigate the electron beam powder bed fusion electron beam (PBF‐EB/M) process for the γ′‐strengthened nickel‐based superalloy Inconel 738LC. The results demonstrate the impact of process‐induced microstructural variations on high‐temperature mechanical behavior, providing a basis for ...
Jan Niklas Petenati +11 more
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