Boundedness of the generalized solutions of elliptic equations with nonpower nonlinearities
type: Item
instance of: scholarly article
title: Boundedness of the generalized solutions of elliptic equations with nonpower nonlinearities
zbMATH Open document ID: 0681.35022
DOI: 10.1007/BF01240452
author: A. G. Korolev
published in: Mathematical Notes
publication date: 1987-01-01T00:00:00Z
review text: The author considers the Dirichlet problem for quasilinear divergence form elliptic equations of second order in bounded domains. Under suitable growth conditions on the coefficients (such as non-power nonlinearity) using De Giorgi's techniques he proves boundedness of the generalized solutions of the problem. The paper extends previous results of De Giorgi, Nash, Moser, Ladyzhenskaya e.a.
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35D10
zbMATH DE Number: 4115110
zbMATH Keywords: generalized solutions
zbMATH Keywords: bounded solutions
zbMATH Keywords: de Giorgi technique
zbMATH Keywords: divergence form
zbMATH Keywords: non-power nonlinearity
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4115110