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ON ELLIPTIC EQUATIONS

Russian Mathematical Surveys, 1960
This paper, like the note on integral geometry in the last number of the "Uspekhi" , is an addendum to my paper [1]. The main idea of the paper is contained in § 2, where we pose the problem of describing linear elliptic equations and their boundary problems in topological terms.
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ELLIPTIC EQUATIONS IN UNBOUNDED DOMAINS

Mathematics of the USSR-Sbornik, 1971
A linear differential operator in of elliptic type, with varying coefficients, is considered along with a boundary value problem for such an operator in the exterior of a bounded region. Certain conditions on the symbol of the operator are assumed, the formulation of which involves lower-order terms.
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Elliptic Equations

2009
We give an introduction to elliptic curves over the rationals and present classical and modern methods for finding integer points on elliptic curves.
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Elliptic equations

2008
Abstract This chapter is an introduction to elliptic equations. These often provide models for equilibrium situations in physics or other sciences. In general relativity they are also important as a tool for studying the set of solutions of the constraints.
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Elliptic equations

2003
Abstract In this chapter we will, as usual, begin by discussing some physical situations that are modelled by elliptic equations, as defined in a rather unfocused way in Chapter 3. Most of the examples involve scalar second-order equations, several of which are special cases, such as steady states, of evolution models discussed in ...
John Ockendon   +3 more
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