We are interested in existence and regularity results concerning the solution to the following problem {−Δu+u^q=f(x)/u^γ in Ω, u>0 in Ω, u=0 on ∂Ω where Ω is an open and bounded subset of ℝN, 0 < γ ≤ 1, s ≥ 1 and f is a nonnegative function that belongs to some Lebesgue space.
On the regularizing effect of some absorption and singular lower order terms in classical dirichlet problems with L1 data / DE CAVE, LINDA MARIA; Oliva, Francescantonio. - In: JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS. - ISSN 2296-9020. - 2:1-2(2017), pp. 73-85. [10.1007/bf03377393]
On the regularizing effect of some absorption and singular lower order terms in classical dirichlet problems with L1 data
Linda Maria De Cave;Francescantonio Oliva
2017
Abstract
We are interested in existence and regularity results concerning the solution to the following problem {−Δu+u^q=f(x)/u^γ in Ω, u>0 in Ω, u=0 on ∂Ω where Ω is an open and bounded subset of ℝN, 0 < γ ≤ 1, s ≥ 1 and f is a nonnegative function that belongs to some Lebesgue space.File allegati a questo prodotto
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