具有非线性超临界指数的$ \mathbf{R}^N$中的椭圆型问题

Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI:10.1070/SM1992V072N02ABEH002147

S. Pokhozhaev

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引用次数: 1

摘要

在适当的条件下，考虑了这种形式的椭圆问题。这类问题包括具有的非齐次Emden-Fowler问题。本文第一部分讨论径向解，其中和。第二部分考虑在无穷远处衰变有规定界的函数类的可解性，但不考虑径向对称的假设。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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ON ELLIPTIC PROBLEMS IN $ \mathbf{R}^N$ WITH SUPERCRITICAL EXPONENT OF NONLINEARITY

Elliptic problems of the form are considered under appropriate conditions. This class of problems includes the inhomogeneous Emden-Fowler problem with .The first part of this article is concerned with radial solutions, where and . The second part considers solvability in classes of functions with prescribed bound on decay at infinity, but without assumptions on radial symmetry.

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Mathematics of The Ussr-sbornik

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