Some results on weak solutions to a class of singular hyperbolic variational inequalities
Some results regarding an equation of Hamilton-Jacobi type
The main goal is to show that the pointwise Osserman four-dimensional pseudo-Riemannian manifolds (Lorentzian and manifolds of neutral signature ) can be characterized as self dual (or anti-self dual) Einstein manifolds. Also, examples of pointwise Osserman manifolds which are not Osserman are discussed.
Some rigorous results on the Pauli-Fierz model of classical electrodynamics
Some series whose coefficients involve the values (n) for n odd.
Some simple nonlinear PDE's without solutions
In questo articolo consideriamo alcune semplici equazioni a derivate parziali elittiche nonlineari, per le quali il Teorema della Funzione Inversa, se applicato in modo formale, suggerisce l'esistenza di soluzioni. Nonostante ciò, proviamo che non esistono soluzioni neppure in vari sensi deboli. Un problema modello è dato da in , su , dove , , è un dominio limitato contenente . Per qualunque costante , arbitrariamente piccola, proviamo che questo problema non ammette soluzioni distribuzionali...
Some solutions for a class of singular equations
In this paper we obtain all solutions which depend only on for a class of partial differential equations of higher order with singular coefficients.
Some solved and unsolved canonical problems of diffraction theory
Some special properties of solutions to obstacle problems
Some stability properties for minimal solutions of .
Some stability results for reactive Navier-Stokes-Poisson systems
We review the main results concerning the global existence and the stability of solutions for some models of viscous compressible self-gravitating fluids used in classical astrophysics.
Some sufficient conditions for the existence of positive solutions to the equation in bounded domains
Some sums of Legendre and Jacobi polynomials
We prove identities involving sums of Legendre and Jacobi polynomials. The identities are related to Green’s functions for powers of the invariant Laplacian and to the Minakshisundaram-Pleijel zeta function.
Some superconvergence results of high-degree finite element method for a second order elliptic equation with variable coefficients
In this paper, some superconvergence results of high-degree finite element method are obtained for solving a second order elliptic equation with variable coefficients on the inner locally symmetric mesh with respect to a point x 0 for triangular meshes. By using of the weak estimates and local symmetric technique, we obtain improved discretization errors of O(h p+1 |ln h|2) and O(h p+2 |ln h|2) when p (≥ 3) is odd and p (≥ 4) is even, respectively. Meanwhile, the results show that the combination...
Some surprising results on a one-dimensional elliptic boundary value blow-up problem.
Some theorems concerning partial differential equations
Some theorems of Phragmen-Lindelof type for nonlinear partial differential equations.
The present paper studies second order partial differential equations in two independent variables of the form Div(ρ1|u,1|n-1u,1, ρ2|u,2|n-1u,2) = 0. We obtain decay estimates for the solutions in a semi-infinite strip. The results may be seen as theorems of Phragmen-Lindelof type. The method is strongly based on the ideas of Horgan and Payne [5], [6], [8].
Some theorems on partial differential inequalities of parabolic type
Some theoretical results concerning non newtonian fluids of the Oldroyd kind
Some time-dependent Hartree equations
Some topics in spectral geometry