| 科研成果 |
<p>
[1] Wan, Dongrui, A variational approach to the quaternionic Monge-Ampère equation. Ann. Mat. Pura Appl. (4) 199 (2020), no. 6, 2125–2150. <br>[2] Wan, Dongrui, Subsolution theorem and the Dirichlet problem for the quaternionic Monge-Ampère equation. Math. Z. 296 (2020), no. 3-4, 1673–1690.<br>[3] Wan, Dongrui, The domain of definition of the quaternionic Monge-Ampère operator. Math. Nachr. 292 (2019), no. 5, 1161–1173.<br>[4] Wan, Dongrui, Quaternionic Monge-Ampère operator for unbounded plurisubharmonic functions. Ann. Mat. Pura Appl. (4) 198 (2019), no. 2, 381–398. <br>[5] Wan, Dongrui, Complex Hessian operator and generalized Lelong numbers associated to a closed m-positive current. Complex Anal. Oper. Theory 12 (2018), no. 2, 475–489. <br>[6] Wan, Dongrui; Wang, Wei, On the quaternionic Monge-Ampère operator, closed positive currents and Lelong-Jensen type formula on the quaternionic space. Bull. Sci. Math. 141 (2017), no. 4, 267–311. <br>[7] Wan, Dongrui, The continuity and range of the quaternionic Monge-Ampère operator on quaternionic space. Math. Z. 285 (2017), no. 1-2, 461–478. <br>[8] Wan, Dongrui; Wang, Wei, Viscosity solutions to quaternionic Monge-Ampère equations. Nonlinear Anal. 140 (2016), 69–81. <br>[9] Wan, Dongrui; Wang, Wei, Complex Hessian operator and Lelong number for unbounded m-subharmonic functions. Potential Anal. 44 (2016), no. 1, 53–69. <br>[10] Wan, Dongrui; Wang, Wei, Lelong-Jensen type formula, k-Hessian boundary measure and Lelong number for k-convex functions. J. Math. Pures Appl. (9) 99 (2013), no. 6, 635–654.<br></p> |
科研项目 |
主持两项国家自然科学基金：国家自然科学基金面上项目，2019.1-2022.12, 53万，四元流形上的四元Monge-Ampère算子及其多重位势论（主持）；<br>国家自然科学基金青年科学基金项目，2015.01-2017.12，22万，多重位势论对四元Monge-Ampère算子、复k-Hessian算子的应用（主持）<br> |
