By using the abstract version of Struwe's monotonicity-trick we prove the existence of a positive solution to the problem{(-Delta)(s)u + Ku = f(x,u) in R-Nu epsilon H-s (R-N), K > 0where f(x,t) : R-N x R -> R is a Caratheodory function, 1-periodic in x and does not satisfy the Ambrosetti-Rabinowitz condition.
A FRACTIONAL LANDESMAN-LAZER TYPE PROBLEM SET ON R-N / Ambrosio, V. - In: LE MATEMATICHE. - ISSN 0373-3505. - 71:2(2016), pp. 99-116. [10.4418/2016.71.2.8]
A FRACTIONAL LANDESMAN-LAZER TYPE PROBLEM SET ON R-N
Ambrosio, V
2016-01-01
Abstract
By using the abstract version of Struwe's monotonicity-trick we prove the existence of a positive solution to the problem{(-Delta)(s)u + Ku = f(x,u) in R-Nu epsilon H-s (R-N), K > 0where f(x,t) : R-N x R -> R is a Caratheodory function, 1-periodic in x and does not satisfy the Ambrosetti-Rabinowitz condition.File in questo prodotto:
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