This article is cited in 5 papers

Reverse functional inequalities and their applications to nonlinear elliptic boundary value problems

V. S. Klimov^a, A. N. Pavlenko<sup>b

a</sup> Yaroslavl State University
^b Borisoglebsk State Teachers Training Institute

Abstract: We establish some reverse inequalities. We give applications to nonlinear elliptic boundary value problems containing a parameter $\lambda$ which have two branches of solutions $u\lambda(\lambda\geq 0)$ and $U\lambda(\lambda>0)$ of which the first is continuous at the origin and the second increases indefinitely as $\lambda\to 0$.

UDC: 517.9

Received: 28.02.2000

 English version: Siberian Mathematical Journal, 2001, 42:4, 656–667

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