2015
DOI: 10.1016/j.na.2015.08.005
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Elliptic equations with general singular lower order term and measure data

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Cited by 25 publications
(33 citation statements)
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“…Proof. The proof is similar to the one of Lemma 3.4 in [22] given for p = 2. For this reason we just sketch it.…”
Section: The Approximation Scheme If H Is Singularmentioning
confidence: 68%
“…Proof. The proof is similar to the one of Lemma 3.4 in [22] given for p = 2. For this reason we just sketch it.…”
Section: The Approximation Scheme If H Is Singularmentioning
confidence: 68%
“…Also, we will always assume, without loss of generality, that µ d ≡ 0. Otherwise, in fact, the singularity of the problem virtually disappears and one is brought to nonsingular problem (see Remark 2.2 below, and the discussion in [17,Section 5]).…”
Section: Setting Of the Problem And Some Preliminary Tools 21 Main Amentioning
confidence: 99%
“…To deal with both existence and uniqueness for solutions to our problem we give the following variant of the definition of distributional solution to (2.1) given in [17] (and inspired by [36]).…”
Section: )mentioning
confidence: 99%
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“…Otherwise if is not sufficiently regular we are just able to prove that, in general, every truncation of the solution has locally finite energy. For this kind of effects and even more we refer to [11,26,47,48]. When = 1 the same effect arises: for instance in [28] it is proved the existence of a locally BV -solution if is in L N (Ω).…”
mentioning
confidence: 92%