1,721,006 research outputs found

    A class of nonlinear degenerate elliptic equations related to the Gauss measure

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    We prove a priori estimates and existence results for Dirichlet problems whose model case is: −div(φ|Du|^(p−2)Du/(1 + |u|)^θ(p−1)) = gφ in Ω, u =0 on ∂Ω, where Ω is an open subset of R^N with γ (Ω) = 2, 1 =0 and φ is the density of Gauss measure

    Existence results for a class of degenerate elliptic equations

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    In the present paper we prove existence results for a class of nonlinear elliptic equations whose prototype is -div (|D u|^(p−2) Du φ( x) ) + |D u|^σ φ( x)= g φ ; where Ω is an open set, u=0 on partial Ω; the function φ( x) = (2π)^ (n/2) exp (−|x|2 /2) is the density of Gauss measure and g in the weighted Lorentz-Zygmund space L^r (log L)^(-1/2) (φ,Ω),

    An eigenvalue problem for the anisotropic Φ-Laplacian

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    We study an eigenvalue problem involving a fully anisotropic elliptic differential operator in arbitrary Orlicz-Sobolev spaces. The relevant equations are associated with constrained minimization problems for integral functionals depending on the gradient of competing functions through general anisotropic N-functions. In particular, the latter need neither be radial, nor have a polynomial growth, and are not even assumed to satisfy the so called Δ2-condition. The resulting analysis requires the development of some new aspects of the theory of anisotropic Orlicz-Sobolev spaces

    Regularity results for local solutions to some anisotropic elliptic equations

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    In this paper we study the higher integrability of local solutions for a class of anisotropic equations with lower order terms whose growth coefficients lay in Marcinkiewicz spaces. A condition for the boundedness of such solutions is also given

    Regularity results for nonlinear elliptic equations related to Gauss measure

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    In this paper we study a Dirichlet problem relative to the equation Lu = g \phi - (f_i \phi)(x_i), where L is a non linear elliptic operator with a lower-order term whose ellipticity condition is given in terms of the function \phi(x), the density of the Gaussian measure

    Talismanic Texts

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    This essay wishes to investigate the notion of 'talismanic text' sensu Jeanette Winterson, particularly focusing on the interaction between talismanic texts and authors. Case studies include Winterson's rewriting of Shakespeare's The Winter's Tale (The Gap of Time, 2015) and The Book of Margery Kempe
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