Yujuan Tian, Chao Ma, Fengquan Li
Abstract:
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.
Submitted July 22, 2015. Published December 16, 2015.
Math Subject Classifications: 35J60, 35J70, 35J15.
Key Words: Comparison results; symmetrization; gauss measure;
nonlinear elliptic equation.
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Yujuan Tian School of Mathematical Sciences Shandong Normal University Jinan 250014, China email: tianyujuan0302@126.com |
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Chao Ma School of Mathematical Sciences University of Jinan Jinan 250022, China email: chaos_ma@163.com |
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Fengquan Li School of Mathematical Sciences Dalian University of Technology Dalian 116024, China email: fqli@dlut.edu.cn |
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