Results 21 to 30 of about 48,479,547 (404)
On some differential equations involving a new kind of variable exponents
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, we are concerned with some new first order differential equation defined on the whole real axis $\mathbb{R}.$ The principal part of the equation involves an operator with variable exponent $p$ depending on the variable $x \in \mathbb{R ...
Sami Aouaoui
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A local existence result for Poincaré-Einstein metrics [PDF]
Advances in Mathematics, 2017 Given a closed Riemannian manifold $(M, g_M)$ of dimension $n \geq 3$, we prove the existence of a conformally compact Einstein metric $g_{+}$ defined on a collar neighborhood $M \times (0,1]$ whose conformal infinity is $[g_M]$.
M. Gursky, G'abor Sz'ekelyhidi
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A new class of double phase variable exponent problems: Existence and uniqueness [PDF]
Journal of Differential Equations, 2021 In this paper we introduce a new class of quasilinear elliptic equations driven by the so-called double phase operator with variable exponents. We prove certain properties of the corresponding Musielak-Orlicz Sobolev spaces (an equivalent norm, uniform ...
Ángel Crespo-Blanco +3 more
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Optimal investment with taxes: an existence result [PDF]
Journal of Mathematical Economics, 2000 A consumption-investment problem of the following form is considered in the continuous time framework. The agent receives an income, rebalances her portfolio, and consumes the rest (non-negative consumption is assumed). Tax has to be paid on benefits and the sales may be submitted to a FIFO priority rule imposed by the tax administration. Short selling
Jouini, Elyès +2 more
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Existence results for a critical fractional equation [PDF]
Asymptotic Analysis, 2016 We are concerned with existence results for a critical problem of Brézis–Nirenberg-type driven by an integro-differential operator of fractional nature. The latter includes, for a specific choice of the kernel, the usual fractional Laplacian. Under mild assumptions on the subcritical part of the nonlinearity, we provide first the existence of one weak ...
Hajaiej H., Molica Bisci G., Vilasi L.
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Existence result for hemivariational inequality involving p(x)-Laplacian [PDF]
Opuscula Mathematica, 2012 In this paper we study the nonlinear elliptic problem with \(p(x)\)-Laplacian (hemivariational inequality).We prove the existence of a nontrivial solution.
Sylwia Barnaś
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An Existence Result for Optimal Obstacles
Journal of Functional Analysis, 1999 In the paper the optimization problem: \(\min \{F(g): g \in X(\Omega)\}\) is considered. The cost functional \(F(g)\) usually represents a variational energy associated to obstacle \(g\) which in turn belongs to the class of admissible obstacles defined as \[ X(\Omega) = \Biggl\{g: \Omega \to \mathbb R: g \leq \psi \;\text{ on} \Omega, \int_{\Omega}g ...
BUCUR D. +2 more
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Existence of unimodular triangulations — positive results [PDF]
Memoirs of the American Mathematical Society, 2021 Unimodular triangulations of lattice polytopes arise in algebraic geometry, commutative algebra, integer programming and, of course, combinatorics. In this article, we review several classes of polytopes that do have unimodular triangulations and constructions that preserve their existence. We include, in particular,
Haase, Christian +3 more
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Existence results and a priori estimates for solutions of quasilinear problems with gradient terms [PDF]
Opuscula Mathematica, 2019 In this paper we establish a priori estimates and then an existence theorem of positive solutions for a Dirichlet problem on a bounded smooth domain in \(\mathbb{R}^N\) with a nonlinearity involving gradient terms.
Roberta Filippucci, Chiara Lini
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Existence result for degenerate cross-diffusion system with application to seawater intrusion [PDF]
E S A I M: Control, Optimisation and Calculus of Variations, 2014 In this paper we study a degenerate parabolic system, which is strongly coupled. We prove general existence result, but the uniqueness question remains open. Our proof of existence is based on a crucial entropy estimate which controls the gradient of the
J. Alkhayal +3 more
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