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Volume 14, Issue 2
Positive Solutions of Fully Nonlinear Elliptic Equations on General Bounded Domains

Meisheng Li & Jiguang Bao

J. Part. Diff. Eq., 14 (2001), pp. 111-116.

Published online: 2001-05

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  • Abstract
We prove the refined ABP maximum principle, comparison principle, and related existence and uniqueness theorem for the positive solutions of the Dirichlet problems of second order fully nonlinear elliptic equations on arbitrary bounded domains.
  • Keywords

Refined ABP maximum principle fully nonlinear equation arbitrary bounded domain

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@Article{JPDE-14-111, author = {Meisheng Li and Jiguang Bao }, title = {Positive Solutions of Fully Nonlinear Elliptic Equations on General Bounded Domains}, journal = {Journal of Partial Differential Equations}, year = {2001}, volume = {14}, number = {2}, pages = {111--116}, abstract = { We prove the refined ABP maximum principle, comparison principle, and related existence and uniqueness theorem for the positive solutions of the Dirichlet problems of second order fully nonlinear elliptic equations on arbitrary bounded domains.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5474.html} }
TY - JOUR T1 - Positive Solutions of Fully Nonlinear Elliptic Equations on General Bounded Domains AU - Meisheng Li & Jiguang Bao JO - Journal of Partial Differential Equations VL - 2 SP - 111 EP - 116 PY - 2001 DA - 2001/05 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5474.html KW - Refined ABP maximum principle KW - fully nonlinear equation KW - arbitrary bounded domain AB - We prove the refined ABP maximum principle, comparison principle, and related existence and uniqueness theorem for the positive solutions of the Dirichlet problems of second order fully nonlinear elliptic equations on arbitrary bounded domains.
Meisheng Li and Jiguang Bao . (2001). Positive Solutions of Fully Nonlinear Elliptic Equations on General Bounded Domains. Journal of Partial Differential Equations. 14 (2). 111-116. doi:
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