Elliptic Equations in R2 with Nonlinearities in the Critical Growth Range

D. G. de Figueiredo, O. H. Miyagaki and B. Ruf
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D. G. de Figueiredo: IMECC-UNICAMP
O. H. Miyagaki: Universidade Federal de Uberlfindia, Departamento de Matemfitica
B. Ruf: Università degli Studi, Dipartimento di Matematica

A chapter in Djairo G. de Figueiredo - Selected Papers, 1995, pp 423-437 from Springer

Abstract: 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 $$ H_{0}^{1} (\Upomega ) $$ .

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-02856-9_29

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DOI: 10.1007/978-3-319-02856-9_29

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