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Time—periodic weak solutions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1990 In continuing from previous papers, where we studied the existence and uniqueness of the global solution and its asymptotic behavior as time t goes to infinity, we now search for a time-periodic weak solution u(t) for the equation whose weak formulation ...
Eliana Henriques de Brito
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Weak solutions with unbounded variation [PDF]
Proceedings of the American Mathematical Society, 1973 To solve a quasilinear system of hyperbolic partial differential equations with given initial data, the usual procedure is to approximate the initial data, solve the resulting problems, and show that the variation of the approximating solutions is uniformly bounded. A limiting process then can be used.
Donald P. Ballou
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Existence of nontrivial weak solutions for a quasilinear Choquard equation [PDF]
Journal of Inequalities and Applications, 2018 We are concerned with the following quasilinear Choquard equation: −Δpu+V(x)|u|p−2u=λ(Iα∗F(u))f(u)in RN,F(t)=∫0tf(s)ds, $$ -\Delta_{p} u+V(x)|u|^{p-2}u=\lambda\bigl(I_{\alpha} \ast F(u)\bigr)f(u) \quad \text{in } \mathbb {R}^{N}, \qquad F(t)= \int_{0}^{t}
Jongrak Lee +3 more
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Weak solutions of generated Jacobian equations
Mathematics in Engineering, 2023 We prove two groups of relationships for weak solutions to generated Jacobian equations under proper assumptions on the generating functions and the domains, which are generalizations for the optimal transportation case and the standard Monge-Ampère case
Feida Jiang
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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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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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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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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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Onsager's Conjecture for Admissible Weak Solutions [PDF]
Communications on Pure and Applied Mathematics, 2018 36 pages, 1 ...
Buckmaster, Tristan +3 more
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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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