Consider the following quasilinear differential equation: ( IU'(t)lp-2 u'(t))' + f(t, u(t)) = 0, a < t < b, p > 1,
Nonexistence of positive solutions of systems of quasilinear differential inequalities
โ Scribed by Gabriella Caristi; Enzo Mitidieri
- Book ID
- 112903916
- Publisher
- Springer-Verlag
- Year
- 1996
- Tongue
- German
- Weight
- 513 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0430-3202
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๐ SIMILAR VOLUMES
## Abstract We establish the necessary conditions for existence of positive solutions to elliptic and evolution partial differential inequalities and their systems with singularities at the origin, at the boundary, or on subsets of different dimension. Our basic tool is the nonlinear capacity metho
In this paper, we shall show that under suitable conditions on f and K, the inequalities -xzp + s cc eXSK(s) ds > 0, forallX>O, (p=O,1,2 ,...) 0 (I,) imply that the integro-differential inequalities (-1)2P+1y(2')(t) + s,' f(t -s, y(s)) ds 5 0, on [O,co), (p=O,1,2 ,..,) (B,) have no positive solution