Existence of Positive Global Solutions of Mixed Sublinear-Superlinear Problems
Keyword(s):
Consider the elliptic quasilinear problem:1in Rn, n ≧ 3, whereWe are interested in establishing sufficient conditions on f for the existence of positive solutions u(x) with specified behaviour at ∞. Of special interest to us are criteria which guarantee that u(x) decays at least as fast as |x|−α for some α ≧ 0, given below, in the case f(x, u, ∇u) contains terms of typeThat is: f is of mixed sublinear-super linear type. Our main result is Theorem 3 below which explicitly states sufficient conditions for the existence of such solutions.
1978 ◽
Vol 18
(1)
◽
pp. 55-64
◽
1998 ◽
Vol 39
(3)
◽
pp. 386-407
◽
2018 ◽
Vol 26
(1)
◽
pp. 5-41
◽
1993 ◽
Vol 123
(3)
◽
pp. 433-460
◽
2014 ◽
Vol 144
(1)
◽
pp. 119-138
◽
2014 ◽
Vol 46
(1-2)
◽
pp. 407-422
1974 ◽
Vol 72
(2)
◽
pp. 109-127
◽