In this paper we study the existence of nontrivial solutions for a system of coupled semilinear Poisson equations. The growth of one nonlinearity is polynomial, while no growth restriction is imposed on the second nonliearity. The existence of a strong solution is proved.
Elliptic systems with nonlinearities of arbitrary growth / D.G. de Figueiredo, B. Ruf. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - 1:4(2004), pp. 417-431. [10.1007/s00009-004-0021-7]
Elliptic systems with nonlinearities of arbitrary growth
B. RufUltimo
2004
Abstract
In this paper we study the existence of nontrivial solutions for a system of coupled semilinear Poisson equations. The growth of one nonlinearity is polynomial, while no growth restriction is imposed on the second nonliearity. The existence of a strong solution is proved.
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