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Autor Díaz Díaz, Jesús Ildefonso |
Documentos disponibles escritos por este autor (214)
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We present a new proof of comparison results via Steiner symmetrization for solutions of elliptic equations. This proof relies upon a "level sets" argument.texto impreso
Díaz Díaz, Jesús Ildefonso ; Alvino, A. ; Trombetti, G. ; Lions, P.L. | John Wiley & SONS INC | 1996-03We give some comparison results for elliptic equations by using Steiner symmetrization.texto impreso
Díaz Díaz, Jesús Ildefonso ; Rakotoson, Jean-Michel | Department of Mathematics Texas State University | 2014We revisit the regularity of very weak solution to second-order elliptic equations Lu = f in ? with u = 0 on ?? for f ? L1 (?, ?), ?(x) the distance to the boundary ??. While doing this, we extend our previous results(and many others in the lite[...]texto impreso
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In this paper we use some energy methods to study the location (and formation) of a free boundary arising in some unilateral problems, for instance, in the obstacle problem and the Stefan problem.texto impreso
We obtain existence and uniqueness of solutions with compact support for some nonlinear elliptic and parabolic problems including the equations of one-dimensional motion of a non-newtonian fluid. Precise estimates for the support of these soluti[...]texto impreso
Obtains existence and uniqueness of solutions with compact support for some nonlinear elliptic and parabolic problems including the equations of one-dimensional motion of a non-newtonian fluid. Precise estimates for the support of these solution[...]texto impreso
In 1757, Leonhard Euler started the study of the tallest column, i.e. the shape of a stable column with the symmetry of revolution, such that it attains the maximum height once the total mass is prescribed, buckling due to the effect of a load s[...]texto impreso
The authors study the nonlinear elliptic equation (*) ?div(a(x,u,Du))?div(?(u))+g(x,u)=f(x)in ? with the boundary condition (??) u=0 on ??, where ? is a bounded open subset of RN, A(u)=?div(a(x,u,Du)) is a nonlinear operator of Leray-Lions type[...]texto impreso
The authors show the uniqueness and give some necessary and sufficient conditions for the existence of positive solutions of the equation ??pu=f(x,u), where ?p denotes the p-Laplacian and f(x,r)/rp?1 is assumed to be decreasingtexto impreso
The authors study the existence of weak solutions for the following system: ut???(u)?F(u,v), vt???(v)?G(u,v) in (0,T)×?, ?(u)=?(v)=0 on (0,T)×??, u(0,x)=u0(x), v(0,x)=v0(x) in the region ???Rn with smooth boundary ??. The functions ?,?:R?R are a[...]texto impreso
We prove some existence (and sometimes also uniqueness) of weak solutions to some stationary equations associated to the complex Schrödinger operator under the presence of a singular nonlinear term. Among other new facts, with respect some previ[...]texto impreso
Díaz Díaz, Jesús Ildefonso ; Muñoz Montalvo, Ana Isabel ; Schiavi, Emanuele | Pergamon-Elsevier Science Ltd. | 2007-02This paper deals with the mathematical analysis of a nonlinear system of three differential equations of mixed type. It describes the generation of fast ice streams in ice sheets flowing along soft and deformable beds. The system involves a nonl[...]texto impreso
The authors consider first-order equations in "conservation laws'' form perturbed by a semilinear nonlinearity of monotone type. The known existence and uniqueness results for conservation laws—results due to Kruzhkov—are easily adapted to this [...]texto impreso
Díaz Díaz, Jesús Ildefonso ; Bermejo, R. ; Carpio, Jaime ; Galán del Sastre, Pedro | Birkhäuser | 2008-07-11We present a finite element algorithm of a climate diagnostic model that takes as a climate indicator the atmospheric sea-level temperature. This model belongs to the category of energy balance models introduced independently by the climatologis[...]