Related papers: Higher regularity of solutions to the singular $p$…
This paper has been withdrawn due to a crucial error in the proof of the main theorem
This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.
This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.
We study existence and regularity properties of solutions to the singular $p$-Laplacean parabolic system in a bounded domain $\Omega$. The main purpose is to prove global $L^r(\varepsilon,T;L^q(\Omega))$, $\varepsilon\geq0$, integrability…
This paper is withdrawn because of an error in Lemma 3.1
This paper is withdrawn by the author due to a critical error in the proof of the main theorem, Theorem 3.10. (More specifically the identity (5.18) is incorrect in that the $T^*S^1(2)$-factor is missing in the right hand side of the…
This paper has been withdrawn due to a error in Theorem 3.1.
This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).
This paper has been withdrawn, because of an error in the proof of the main Theorem
This paper has been withdrawn by the author due to a gap in the proof of the main result.
This paper is being withdrawn because an error was discovered in lemma 4.3. Although the rest of the paper appears to be correct, this error invalidates the proof of theorem 3.1 and theorem 3.3.
This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.
In this paper we produce new, optimal, regularity results for the solutions to $p$-Poisson equations. We argue through a delicate approximation method, under a smallness regime for the exponent $p$, that imports information from a limiting…
This paper has been withdrawn by the author, due to a crucial error in page 5.
This paper has been withdrawn by the author. The statement of the Main Theorem but is wrong in general, there have been provided counterexamples. The main theorem only holds conditionally, under the finiteness statement of theorem 2.8.
This paper has been withdrawn by the author, due to an error in the proof of lemma 7.4. However, numerical evidence strongly suggest that this lemma is true.
This paper has been withdrawn due to a crucial error in combining the two probability sectors represented in equations 13 and 14. Corrected, one can recover, in the limit of no background, the results of Allen et al. The general result that…
This paper has been withdrawn by the authors, due a crucial error in the proof of the main theorem.
This paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn by the author due to an error in the proof of Theorem 6.