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Regularity for solutions of nonlinear elliptic equations with natural growth in the gradient

✍ Scribed by Francesco Chiacchio

Publisher
Elsevier Science
Year
2000
Tongue
French
Weight
115 KB
Volume
124
Category
Article
ISSN
0007-4497

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✦ Synopsis

The aim of this paper is to study the regularity of the solutions of problems like (1). The main result is to show that if u is a solution of (1) such that the function w = e Β΅|u| -1 Β΅ sign(u) belongs to W 1,p 0 (Ω), where Β΅ is some constant, then u is actually HΓΆlder continuous. Then the same result is proved for variational inequalities and for these last ones it is also given an existence theorem.

πŸ“œ SIMILAR VOLUMES

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