Abstract
We prove existence and regularity results for distributional solutions in RN for nonlinear elliptic and parabolic equations with general anisotropic diffusivities as well as advection and lower-order terms that satisfy appropriate growth conditions. The data are assumed to be merely locally integrable.
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Mathematics Subject Classifications (2000)
35J60, 35K55.
This work was supported by the BeMatA program of the Research Council of Norway and the European network HYKE, funded by the EC as contract HPRN-CT-2002-00282. This work was done while M. Bendahmane visited the Centre of Mathematics for Applications (CMA) at the University of Oslo, Norway.
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Bendahmane, M., Karlsen, K.H. Nonlinear Anisotropic Elliptic and Parabolic Equations in RN with Advection and Lower Order Terms and Locally Integrable Data. Potential Anal 22, 207–227 (2005). https://doi.org/10.1007/s11118-004-6117-7
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DOI: https://doi.org/10.1007/s11118-004-6117-7