We are interested in existence and regularity results concerning the solution to the following problem {−Δu+u8=f(x)uγinΩu>0inΩu=0on∂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 L 1 Data / De Cave, L. M.; Oliva, F.. - In: JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS. - ISSN 2296-9020. - 2:1-2(2016), pp. 73-85. [10.1007/BF03377393]
On the Regularizing Effect of Some Absorption and Singular Lower Order Terms in Classical Dirichlet Problems with L 1 Data
Oliva F.
2016
Abstract
We are interested in existence and regularity results concerning the solution to the following problem {−Δu+u8=f(x)uγinΩu>0inΩu=0on∂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 in questo prodotto:
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