On a non linear partial differential equation having natural growth terms and unbounded solution
A. Bensoussan, L. Boccardo, F. Murat (1988)
Annales de l'I.H.P. Analyse non linéaire
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A. Bensoussan, L. Boccardo, F. Murat (1988)
Annales de l'I.H.P. Analyse non linéaire
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Yves Richard, Laurent Veron (1989)
Annales de l'I.H.P. Analyse non linéaire
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V. Benci, J. M. Coron (1985)
Annales de l'I.H.P. Analyse non linéaire
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Menita Carozza, Antonia Passarelli di Napoli (2004)
Collectanea Mathematica
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We examine the p-harmonic equation div |grad u|. grad u = mu, where mu is a bounded Radon measure. We determine a range of p's for which solutions to the equation verify an a priori estimate. For such p's we also prove a higher integrability result.
Georges-Henri Cottet (1988)
Annales de l'I.H.P. Analyse non linéaire
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K. Zhang (1990)
Annales de l'I.H.P. Analyse non linéaire
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