In the present paper we consider the singular resonant elliptic problem {-Delta u = lambda(1)u + (us(-1) - mu u(r-1))chi{u>0}, in Omega u >= 0 in Omega u = 0, on partial derivative Omega (P mu) and prove the existence of a non trivial solution in the cases 0 < r < s < 1 and 0 < s < r < 1.
On a resonant elliptic problem with singular terms
F. Faraci
2020-01-01
Abstract
In the present paper we consider the singular resonant elliptic problem {-Delta u = lambda(1)u + (us(-1) - mu u(r-1))chi{u>0}, in Omega u >= 0 in Omega u = 0, on partial derivative Omega (P mu) and prove the existence of a non trivial solution in the cases 0 < r < s < 1 and 0 < s < r < 1.File in questo prodotto:
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