Nonlinear elliptic equations with general growth in the gradient related to Gauss measure
In this article, we establish a comparison result through symmetrization for solutions to some problems with general growth in the gradient. This allows to get sharp estimates for the solutions, obtained by comparing them with solutions of simpler problems whose data depend only on the first var...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/305/abstr.html |
| Summary: | In this article, we establish a comparison result through symmetrization
for solutions to some problems with general growth in the gradient.
This allows to get sharp estimates for the solutions, obtained by
comparing them with solutions of simpler problems whose data depend
only on the first variable. Furthermore, we use such result to prove
the existence of bounded solutions. All the above results are based
on the study of a class of nonlinear integral operator of Volterra type. |
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| ISSN: | 1072-6691 |