Results 11 to 20 of about 479 (50)
Multiplicity result for a critical elliptic system with concave-convex nonlinearities [PDF]
Boundary Value Problems, 2013 We study the existence of multiple solutions of a strongly indefinite elliptic system involving the critical Sobolev exponent and concave-convex nonlinearities.
C. J. Batkam, F. Colin
semanticscholar +4 more sources
Global well-posedness of the viscous Camassa–Holm equation with gradient noise [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2022 . We analyse a nonlinear stochastic partial differential equation that corresponds to a viscous shallow water equation (of the Camassa–Holm type) perturbed by a convective, position-dependent noise term. We establish the existence of weak solutions in H m
H. Holden, K. Karlsen, Peter H. C. Pang
semanticscholar +1 more source
Uniqueness in Rough Almost Complex Structures and Differential Inequalities [PDF]
, 2009 We prove that for almost complex structures of H\"older class at least 1/2, any J-holomorphic disc, that is constant on some non empty open set, is constant. This is in striking contrast with well known, trivial, non-uniqueness results.
Rosay, Jean-Pierre
core +3 more sources
Non-Uniqueness and prescribed energy for the continuity equation [PDF]
, 2014 In this note we provide new non-uniqueness examples for the continuity equation by constructing infinitely many weak solutions with prescribed ...
Crippa, Gianluca +3 more
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A PDE approach of inflammatory phase dynamics in diabetic wounds
, 2014 The objective of the present paper is the modeling and analysis of the dynamics of macrophages and certain growth factors in the inammatory phase, the rst one of the wound healing process.
N. Cónsul, S. Oliva, M. Pellicer
semanticscholar +1 more source
, 2014 We consider damped linear hyperbolic equations with Dirichlet boundary conditions. We prove the existence, uniqueness, and regularity of the solution. We apply semi-discretization in time technique.
H. Bennour, M. S. Said
semanticscholar +1 more source
Wellposedness of a nonlocal nonlinear diffusion equation of image processing [PDF]
, 2016 Existence and uniqueness are established for a degenerate regularization of the well-known Perona-Malik equation proposed by the first author for non-smooth initial data.
Guidotti, Patrick, Shao, Yuanzhen
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Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions
, 2013 In this note we present some uniqueness and comparison results for a class of problem of the form \begin{equation} \label{EE0} \begin{array}{c} - L u = H(x,u,\nabla u)+ h(x), \quad u \in H^1_0(\Omega) \cap L^{\infty}(\Omega), \end{array} \end{equation ...
Arcoya, David +3 more
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Local existence and uniqueness for the non-resistive MHD equations in homogeneous Besov spaces
, 2017 In the paper, we consider the Cauchy problem of the non-resistive MHD equations in homogeneous Besov spaces. We prove the local existence and uniqueness of the solution to the non-resistive MHD equations by using the iterative scheme and compactness ...
Li, Jinlu, Tan, Wenke, Yin, Zhaoyang
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Advanced Nonlinear Studies, 2017 In the present paper we study the Dirichlet problem for an equation involving the 1-Laplacian and a total variation term as reaction.We prove a strong multiplicity result.
Abdellaoui Boumediene +2 more
doaj +1 more source