Results 11 to 20 of about 8,399,495 (263)
On the solvability of Dirichlet problem for the weighted p-Laplacian [PDF]
Opuscula Mathematica, 2012 The paper investigates the existence and uniqueness of weak solutions for a non-linear boundary value problem involving the weighted \(p\)-Laplacian. Our approach is based on variational principles and representation properties of the associated spaces.
Ewa Szlachtowska
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A variational approach for mixed elliptic problems involving the p-Laplacian with two parameters
Boundary Value Problems, 2022 By exploiting an abstract critical-point result for differentiable and parametric functionals, we show the existence of infinitely many weak solutions for nonlinear elliptic equations with nonhomogeneous boundary conditions. More accurately, we determine
Armin Hadjian, Juan J. Nieto
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Weak Solutions for Some Compressible Multicomponent Fluid Models [PDF]
Archive for Rational Mechanics and Analysis, 2018 The principle purpose of this work is to investigate a “viscous” version of a “simple” but still realistic bi-fluid model described in Bresch et al. (in: Giga , Novotný (eds) Handbook of mathematical analysis in mechanics of viscous fluids, 2018 ) whose “
A. Novotný, M. Pokorný
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An existence result for quasilinear parabolic systems with lower order terms
Mathematical Modelling and Analysis, 2021 In this paper we prove the existence of weak solutions for a class of quasilinear parabolic systems, which correspond to diffusion problems, in the form where Ω is a bounded open domain of be given and The function v belongs to is in a moving and ...
Farah Balaadich, Elhoussine Azroul
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Stationary Solutions and Nonuniqueness of Weak Solutions for the Navier–Stokes Equations in High Dimensions [PDF]
Archive for Rational Mechanics and Analysis, 2018 Consider the unforced incompressible homogeneous Navier–Stokes equations on the d-torus $${\mathbb{T}^d}$$Td where $${d \geq 4}$$d≥4 is the space dimension. It is shown that there exist nontrivial steady-state weak solutions $${u \in L^{2} (\mathbb{T}^d)}
Xiaoyutao Luo
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Local boundedness of weak solutions to elliptic equations with p,q−growth
Mathematics in Engineering, 2023 This article is dedicated to Giuseppe Mingione for his $ 50^{th} $ birthday, a leading expert in the regularity theory and in particular in the subject of this manuscript.
Giovanni Cupini +2 more
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Weak Solutions of the Cahn-Hilliard System with Dynamic Boundary Conditions: A Gradient Flow Approach [PDF]
SIAM Journal on Mathematical Analysis, 2018 The Cahn-Hilliard equation is the most common model to describe phase separation processes of a mixture of two components. For a better description of short-range interactions of the material with the solid wall, various dynamic boundary conditions have ...
H. Garcke, P. Knopf
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Existence of weak solutions in elasticity [PDF]
Mathematics and Mechanics of Solids, 2012 Solvability and uniqueness of solutions to the problems of equilibrium, vibration and dynamics in a weak setup for classical and nonclassical models of linear elasticity are established in a unified framework sufficiently flexible to accommodate new elastic models.
Eremeyev V. A., Lebedev L. P.
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Mathematical Modelling and Analysis, 2022 A new variational approach for a boundary value problem in mathematical physics is proposed. By considering two-field Lagrange multipliers, we deliver a variational formulation consisting of a mixed variational problem which is equivalent with a saddle ...
Mariana Chivu Cojocaru, Andaluzia Matei
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Solutions to the GSM Security Weaknesses [PDF]
2008 The Second International Conference on Next Generation Mobile Applications, Services, and Technologies, 2008 Recently, the mobile industry has experienced an extreme increment in number of its users. The GSM network with the greatest worldwide number of users succumbs to several security vulnerabilities. Although some of its security problems are addressed in its upper generations, there are still many operators using 2G systems.
A. A. Beheshti, Mohsen Toorani
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