In this paper we prove some regularity results for a non- coercive nonlinear Dirichlet problem in an unbounded domain. The main result is obtained in the hypothesis that suitable coefficients of the operator associated to the problem belong to a class of functional spaces strictly containing Lebesgue ones. This can be done by approx- imation via coercive nonlinear Dirichlet problems. Under additional assumptions, we also get the boundedness of a solution.
Regularity results for a noncoercive nonlinear Dirichlet Problem
Alfano, Emilia Anna;Di Gironimo Patrizia;Monsurrò, Sara
2022
Abstract
In this paper we prove some regularity results for a non- coercive nonlinear Dirichlet problem in an unbounded domain. The main result is obtained in the hypothesis that suitable coefficients of the operator associated to the problem belong to a class of functional spaces strictly containing Lebesgue ones. This can be done by approx- imation via coercive nonlinear Dirichlet problems. Under additional assumptions, we also get the boundedness of a solution.File in questo prodotto:
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