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Boundary Value Problems for Nonlinear Elliptic Equations of Second Order in High Dimensional Domains

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DOI: 10.4236/am.2013.412225    2,752 Downloads   4,102 Views  

ABSTRACT

This paper mainly concerns oblique derivative problems for nonlinear nondivergent elliptic equations of second order with measurable coefficients in a multiply connected domain. Under certain condition, we derive a priori estimates of solutions. By using these estimates and the fixed-point theorem, we prove the existence of solutions.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Wen, G. and Chen, D. (2013) Boundary Value Problems for Nonlinear Elliptic Equations of Second Order in High Dimensional Domains. Applied Mathematics, 4, 1651-1657. doi: 10.4236/am.2013.412225.

References

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[8] D. Chen and G. C. Wen, “Some Boundary Value Problems for Nonlinear Elliptic Systems of Second Order in High Dimensional Domains,” Proceedings of the 3rd International Conference on Boundary Value Problems, Integral Equations and Related Problems, World Scientific, Singapore, 2011, pp. 12-21.

  
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