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Elliptic Equations in R2 with Nonlinearities in the Critical Growth Range

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Djairo G. de Figueiredo - Selected Papers

Abstract

In this paper we study the solvability of problems of the type \( - \Updelta u = f(x,u)\;{\text{in}}\;\Upomega ,\;u = 0\;{\text{on}}\;\partial \Upomega , \) where \( \Upomega \) is some bounded domain in R 2, and the function f(x, s) has the maximal growth on s which allows to treat problem variationally in \( H_{0}^{1} (\Upomega ) \).

D. G. de Figueiredo has been partially supported by CNPq.

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© 1995 Springer-Verlag

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de Figueiredo, D.G., Miyagaki, O.H., Ruf, B. (1995). Elliptic Equations in R2 with Nonlinearities in the Critical Growth Range. In: Costa, D. (eds) Djairo G. de Figueiredo - Selected Papers. Springer, Cham. https://doi.org/10.1007/978-3-319-02856-9_29

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