We present an improved version of a necessary and sufficient condition for strong convergence in the Sobolev space W1,p(Ω) and provide a nontrivial application to a class of fully nonlinear partial differential equations involving the range of the map W1,p(Ω)∋u↦|∇u|p∈L1(Ω).
A necessary and sufficient condition for strong convergence in Sobolev spaces / Zagatti, Sandro. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 479:2(2019), pp. 1569-1594. [10.1016/j.jmaa.2019.07.012]
A necessary and sufficient condition for strong convergence in Sobolev spaces
Zagatti, Sandro
2019-01-01
Abstract
We present an improved version of a necessary and sufficient condition for strong convergence in the Sobolev space W1,p(Ω) and provide a nontrivial application to a class of fully nonlinear partial differential equations involving the range of the map W1,p(Ω)∋u↦|∇u|p∈L1(Ω).File in questo prodotto:
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