Results 11 to 20 of about 2,475,365 (332)
AIMS Mathematics, 2023 In this paper, we study variation-inequality initial-boundary value problems with fouth order p(x)-Kirchhoff operators. First, an operator is constructed based on the Leray Schauder principle, and the existence of solutions is obtained.
Tao Wu
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Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics [PDF]
, 1998 The first regular exact black hole solution in General Relativity is presented. The source is a nonlinear electrodynamic field satisfying the weak energy condition, which in the limit of weak field becomes the Maxwell field. The solution corresponds to a
A. A. Tseytlin +17 more
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The regularity criterion for weak solutions to the n-dimensional Boussinesq system
Boundary Value Problems, 2017 We consider the Boussinesq system in the homogeneous spaces of degree −1. To narrow the gap for the existence of small regular solutions in B ˙ ∞ , ∞ − 1 ( R n ) $\dot{B}^{-1}_{\infty,\infty}(\mathbb{R}^{n})$ , the biggest homogeneous space of degree −1 ...
Xiaona Cui
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Fractal and Fractional, 2021 This paper is devoted to the fundamental problem of investigating the solvability of initial-boundary value problems for a quasi-linear pseudo-parabolic equation of fractional order with a sufficiently smooth boundary.
Serik E. Aitzhanov +2 more
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The Lax-Oleinik semigroup on graphs
Networks and Heterogeneous Media, 2017 We consider Tonelli Lagrangians on a graph, define weak KAM solutions, which happen to be the fixed points of the Lax-Oleinik semi-group, and identify their uniqueness set as the Aubry set, giving a representation formula.
Renato Iturriaga +1 more
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Solvability of Parametric Elliptic Systems with Variable Exponents
Moroccan Journal of Pure and Applied Analysis, 2023 In this paper, we study the solvability to the left of the positive infimum of all eigenvalues for some non-resonant quasilinear elliptic problems involving variable exponents.
Ouannasser Anass +1 more
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Two-dimensional incompressible ideal flows in a noncylindrical material domain [PDF]
, 2007 The purpose of this work is to prove existence of a weak solution of the two dimensional incompressible Euler equations on a noncylindrical domain consisting of a smooth, bounded, connected and simply connected domain undergoing a prescribed motion.
Fernandes, Flavia Z. +1 more
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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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A Time-Fractional Differential Inequality of Sobolev Type on an Annulus
Axioms, 2023 Several phenomena from natural sciences can be described by partial differential equations of Sobolev-type. On the other hand, it was shown that in many cases, the use of fractional derivatives provides a more realistic model than the use of standard ...
Amal Alshabanat +3 more
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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.
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