In this paper we look for solutions of the equation δdA = f(A,A)A in R^{2k}, where A is a 1-differential form and k ≥ 2. These solutions are critical points of a functional which is strongly indefinite because of the presence of the differential operator δd. We prove that, assuming a suitable convexity condition on the nonlinearity, the equation possesses infinitely many finite energy solutions.
A multiplicity result for a semilinear Maxwell type equation
AZZOLLINI, ANTONIO
2008-01-01
Abstract
In this paper we look for solutions of the equation δdA = f(A,A)A in R^{2k}, where A is a 1-differential form and k ≥ 2. These solutions are critical points of a functional which is strongly indefinite because of the presence of the differential operator δd. We prove that, assuming a suitable convexity condition on the nonlinearity, the equation possesses infinitely many finite energy solutions.File in questo prodotto:
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