Existence results and a priori bounds for higher order elliptic equations and systems |
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Authors: | Boyan Sirakov |
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Affiliation: | 1. CAMS, EHESS, 54 bd Raspail, 75270 Paris Cedex 06, France;2. MODALX, UFR SEGMI, Université Paris 10, 92001 Nanterre Cedex, France |
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Abstract: | We apply degree theory to prove the existence of positive solutions of semilinear elliptic systems. As an application we obtain a number of new results for higher order equations which appear frequently in applications. In particular, we extend to these equations and systems the notions of sublinearity and superlinearity, classical in the setting of second order equations. |
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