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  • In this paper we prove a priori estimates for a class of quasi-linear elliptic equations. To make the proofs clear and transparent we concentrate on the p-Laplacian. We focus on Lp-estimates for weak solutions of the problem with all standard boundary conditions on non-smooth domains. As an application we prove existence, continuity and compactness of the resolvent operator. We finally prove estimates for solutions to equations with non-linear source and show that, under suitable growth conditions, all solutions are globally bounded.
  • In this paper we prove a priori estimates for a class of quasi-linear elliptic equations. To make the proofs clear and transparent we concentrate on the p-Laplacian. We focus on Lp-estimates for weak solutions of the problem with all standard boundary conditions on non-smooth domains. As an application we prove existence, continuity and compactness of the resolvent operator. We finally prove estimates for solutions to equations with non-linear source and show that, under suitable growth conditions, all solutions are globally bounded. (en)
Title
  • A priori estimates for a class of quasi-linear elliptic equations
  • A priori estimates for a class of quasi-linear elliptic equations (en)
skos:prefLabel
  • A priori estimates for a class of quasi-linear elliptic equations
  • A priori estimates for a class of quasi-linear elliptic equations (en)
skos:notation
  • RIV/49777513:23520/09:00501714!RIV10-MSM-23520___
http://linked.open...avai/riv/aktivita
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  • Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika
  • 12
http://linked.open...vai/riv/dodaniDat
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  • 301514
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  • RIV/49777513:23520/09:00501714
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  • Quasi-linear problems; p-Laplacian; Lp-estimates; non-smooth domains; Moser iterations. (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [74E491BF5087]
http://linked.open...i/riv/nazevZdroje
  • Transactions of the American Mathematical Society
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 361
http://linked.open...iv/tvurceVysledku
  • Drábek, Pavel
  • Daners, Daniel
http://linked.open...ain/vavai/riv/wos
  • 000271831600010
http://linked.open...n/vavai/riv/zamer
issn
  • 0002-9947
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
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