We prove existence of $W^{k,infty}(Omega)$ solutions to some differential problems related to nonlinear partial differential equations and systems of order $k geq 1$. The results will be proved by means of Baire's lemma.
Almost everywhere solutions of partial differential equations and systems of any order / L. POGGIOLINI. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - STAMPA. - 30 no. 5:(1999), pp. 1136-1150. [10.1137/S0036141098336121]
Almost everywhere solutions of partial differential equations and systems of any order
POGGIOLINI, LAURA
1999
Abstract
We prove existence of $W^{k,infty}(Omega)$ solutions to some differential problems related to nonlinear partial differential equations and systems of order $k geq 1$. The results will be proved by means of Baire's lemma.
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