Results 1 to 10 of about 46 (45)
Boundary Value Problems, 2011 Given Ω bounded open regular set of ℝ2 and x1, x2, ..., xm ∈ Ω, we give a sufficient condition for the problem to have a positive weak solution in Ω with u = 0 on ∂Ω, which is singular at each xi as the parameters &#
Abid Imed +3 more
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Multiplicity results for nonhomogenous elliptic equation involving the generalized Paneitz-Branson operator [PDF]
, 2023 Let (M, g) be a compact Riemannian manifold of dimension n ≥ 3 without boundary ∂M, we consider the multiplicity result of solutions of the following nonhomogenous fourth order elliptic equation involving the generalized Paneitz-Branson operator, Pg (u) =
TAHRI, Kamel
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Almost-complex invariants of families of six-dimensional solvmanifolds
Complex Manifolds, 2022 We compute almost-complex invariants h∂¯p,oh_{\bar \partial }^{p,o}, hDolp,oh_{Dol}^{p,o} and almost-Hermitian invariants hδ¯p,oh_{\bar \delta }^{p,o} on families of almost-Kähler and almost-Hermitian 6-dimensional solvmanifolds.
Tardini Nicoletta, Tomassini Adriano
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The extremal problem for Sobolev inequalities with upper order remainder terms.
, 2023 Given a smooth compact Riemannian n-manifold (M, g), we prove existence and compactness results of extremal functions for sharp Sobolev inequalities which are closely related to the embed ding of H1,q(M) into L qn/(n−q) (M) where the L q remainder term ...
Lemos, Flávio Almeida +1 more
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Existence Results for the Conformal Dirac–Einstein System
Advanced Nonlinear Studies, 2021 We consider the coupled system given by the first variation of the conformal Dirac–Einstein functional. We will show existence of solutions by means of perturbation methods.
Guidi Chiara +2 more
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Total mean curvatures of Riemannian hypersurfaces
Advanced Nonlinear Studies, 2023 We obtain a comparison formula for integrals of mean curvatures of Riemannian hypersurfaces via Reilly’s identities. As applications, we derive several geometric inequalities for a convex hypersurface Γ\Gamma in a Cartan-Hadamard manifold MM.
Ghomi Mohammad, Spruck Joel
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CSABA VARGA – In Memoriam [PDF]
, 2023 This note is devoted to present the scientific work of Professor Csaba Varga (1959-2021), who had contributions in Calculus of Variations and its applications in the theory of Partial Differential Equations and Finsler Geometry.
KRISTÁLY, Alexandru
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Elliptic operators on refined Sobolev scales on vector bundles
Open Mathematics, 2017 We introduce a refined Sobolev scale on a vector bundle over a closed infinitely smooth manifold. This scale consists of inner product Hörmander spaces parametrized with a real number and a function varying slowly at infinity in the sense of Karamata. We
Zinchenko Tetiana
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Existence Results for Solutions to Nonlinear Dirac Systems on Compact Spin Manifolds
Advanced Nonlinear Studies, 2018 In this article, we study the existence of solutions for the Dirac ...
Yang Xu
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Advances in Nonlinear Analysis, 2018 We present a geometric formula of Poincaré type, which is inspired by a classical work of Sternberg and Zumbrun, and we provide a classification result of stable solutions of linear elliptic problems with nonlinear Robin conditions on Riemannian ...
Dipierro Serena +2 more
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