Results 101 to 110 of about 3,489,319 (236)

Homogeneous Solutions to Fully Nonlinear Elliptic Equations [PDF]

arXiv, 2005
We classify homogeneous degree $d\neq2$ solutions to fully nonlinear elliptic equations.
arxiv  

The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations

Journal of Applied Mathematics, 2012
We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable
Khaled A. Gepreel, Taher A. Nofal, Ali A. Al-Thobaiti   +2 more
doaj   +1 more source

Nonlinear Partial Differential Equations of Elliptic Type [PDF]

arXiv, 2005
Course Notes on Nonlinear Partial Differential Equations of Elliptic Type given to Master students at the University of Craiova, Romania.
arxiv  

Dirichlet problems for semilinear elliptic equations with a fast growth coefficient on unbounded domains

Electronic Journal of Differential Equations, 2005
When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation ...
Zhiren Jin
doaj  

Elliptic solitons and Heun’s equation [PDF]

, 2002
We find a new class of algebraic geometric solutions of Heun's equation with the accessory parameter belonging to a hyperelliptic curve. Dependence of these solutions from the accessory parameter as well as their relation to Heun's polynomials is studied.
openaire   +2 more sources

Two-loop integrals for t t ¯ $$ t\overline{t} $$ +jet production at hadron colliders in the leading colour approximation

Journal of High Energy Physics
We compute the differential equations for the two remaining integral topologies contributing to the leading colour two-loop amplitudes for pp → t t ¯ j $$ t\overline{t}j $$ .
Simon Badger, Matteo Becchetti, Nicolò Giraudo, Simone Zoia   +3 more
doaj   +1 more source

Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations

Electronic Journal of Differential Equations, 2002
Using the maximum principle for semicontinuous functions [3,4], we prove a general ``continuous dependence on the nonlinearities'' estimate for bounded Holder continuous viscosity solutions of fully nonlinear degenerate elliptic equations.
Espen R. Jakobsen, Kenneth H. Karlsen
doaj  

Degenerate elliptic equations [PDF]

Pacific Journal of Mathematics, 1964
Redheffer, R. M., Straus, E. G.
openaire   +2 more sources

Regularity for solutions of non-uniformly elliptic equations in non-divergence form [PDF]

arXiv
We prove the Aleksandrov--Bakelman--Pucci estimate for non-uniformly elliptic equations in non-divergence form. Moreover, we investigate local behaviors of solutions of such equations by developing local boundedness and weak Harnack inequality. Here we impose an integrability assumption on ellipticity representing degeneracy or singularity, instead of ...
arxiv  

Bounds and compactness for solutions of second-order elliptic equations

Electronic Journal of Differential Equations, 2012
In this article, we establish some connections between Sobolev spaces and nonlinear singular elliptic problems, to obtain bounds and compactness results for solutions of second-order elliptic equations.
Carlos C. Aranda
doaj