Existence of solutions for quasilinear elliptic boundary value problems in unbounded domains.
Ouassarah, A.Ait, Hajjaj, A. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Ouassarah, A.Ait, Hajjaj, A. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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B. Canuto, Edi Rosset, S. Vessella (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium in , , from a single pair of boundary measurements of temperature and thermal flux.
Oleinik, O. A.
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Límaco, J., Clark, H.R., Medeiros, L.A. (2003)
International Journal of Mathematics and Mathematical Sciences
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Mamadou Sango (2003)
Annales de l'I.H.P. Analyse non linéaire
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Petr Kaplický, Jakub Tichý (2013)
Open Mathematics
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We investigate boundary regularity of solutions of generalized Stokes equations. The problem is complemented with perfect slip boundary conditions and we assume that the nonlinear elliptic operator satisfies non-standard ϕ-growth conditions. We show the existence of second derivatives of velocity and their optimal regularity.