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Boundedness of the Weak Solutions to Quasilinear Elliptic Equations with Morrey Data

2014.07.23 17:47

실적년도 2013년 
논문구분 국외 
총저자 Sun-Sig Byun, Dian Palagachev 
학술지명 Indiana University Mathematics Journal 
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게재년월 년 월 
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We prove global essential boundedness of weak solutions to quasilinear coercive divergence form equations with data belonging to Morrey spaces. The nonlinear terms are given by Caratheodory functions and satisfy controlled growth assumptions. As an application of the main result, we get global Holder continuity of the solutions to semilinear elliptic equations with measurable coefficients and Morrey data.

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