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We study a class of non-homogeneous quasilinear elliptic equations with measure data to obtain an optimal regularity estimate. We prove that the gradient of a weak solution to the problem… Click to show full abstract
We study a class of non-homogeneous quasilinear elliptic equations with measure data to obtain an optimal regularity estimate. We prove that the gradient of a weak solution to the problem is as integrable as the first order maximal function of the associated measure in the Orlicz spaces up to a correct power.
Keywords:
class;
measure;
elliptic equations;
measure data;
equations measure;
quasilinear elliptic
Journal Title: Science China Mathematics
Year Published: 2018
Link to full text (if available)
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Journal Title: Science China Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!