職稱副教授
姓名王惟權
電子郵件wangwc@nqu.edu.tw; wangwc72@gmail.com
聯絡電話082-313912
個人網站
最高學歷國立中山大學應用數學博士
專長分析、微分方程
經歷國立彰化師範大學數學系博士後研究
論文著作A.    期刊論文

1.     Wei-Chuan Wang (2019, May). Remarks on eigenfunction expansions for the p-Laplacian. Differential and Integral Equations. (Accepted).

 

2.     Wei-Chuan Wang* (2018, Nov). Some nodal properties for a quasilinear differential equation involving the p-Laplacian. Journal of Mathematical Analysis and Applications, 472(1), 1093-1195.

 

3.     Wei-Chuan Wang and Yan-Hsiou Cheng* (2017, Jun). Sign-changing solutions to a class of nonlinear equations involving p-Laplacian. Rocky Mountain Journal of Mathematics, 47(3), 971-996.

 

4.     Yan-Hsiou Cheng and Wei-Chuan Wang* (2017, Mar). Nodal properties for pLaplacian systems. Electronic Journal of Differential Equations, Vol. 2017 (2017), No. 87, pp.1-8.

 

5.     C.K. Law, Wan-Zhen Wang and Wei-Chuan Wang* (2017, Jan). Sturm-Liouville properties for Atkinson’s semi-definite p-Laplacian eigenvalue problems. Mathematische Nachrichten, 290(1), 66-74.

 

6.     Yan-Hsiou Cheng and Wei-Chuan Wang* (2016, May). Inverse nodal problems for the p-Laplacian with eigenparameter dependent energy functions. Boundary Value Problems, 2016:102 .

 

7.     Yan-Hsiou Cheng, Chun-Kong Law, Wei-Cheng Lian and Wei-Chuan Wang (2015, Aug). An inverse nodal problem and Ambarzumyan problem for the periodic p-Laplacian operator with integrable potentials. Taiwanese Journal of Mathematics, 19(4), 1305-1316.

 

8.     Wei-Chuan Wang* and Yan-Hsiou Cheng (2014, Mar). An inverse problem related to a half-linear eigenvalue problem. Boundary Value Problems, 2014:65.

 

9.     Wei-Chuan Wang* and Yan-Hsiou Cheng (2014, Jan). On the existence of signchanging radial solutions to nonlinear p-Laplacian equations in R^n. Nonlinear Analysis Series A: Theory, Methods & Applications, 102(2014), 14-22.

 

10.  Yan-Hsiou Cheng, Wei-Cheng Lian and Wei-Chuan Wang (2014, Jan). The dual eigenvalue problems for p-Laplacian. Acta Mathematica Hungarica , 142 (1) (2014) , 132–151.

 

11.  Wei-Chuan Wang* (2013, Nov). Prufer substitutions on a coupled system involving the p-Laplacian. Electronic Journal of Differential Equations, Vol. 2013 (2013), No. 213, 1-9.

 

12.   C.K. Law, V. Pivovarchik and Wei-Chuan Wang (2013, Oct). A polynomial identity and its application to inverse spectral problems in Stieltjes strings . Operators and Matrices , 7(3), 603-617.

 

13.  C.Z. Chen, C.K. Law, W.C. Lian and Wei-Chuan Wang* (2013, Mar). Optimal upper bounds for the eigenvalue ratios of one-dimensional p-Laplacian. Proceedings of American Mathematical Society, 141(3), 883–893.

 

14.  W.C. Lian, Wei-Chuan. Wang and Y.H. Cheng (2013, Mar). Existence of signchanging solutions for the nonlinear p-Laplacian boundary value problem. Analysis and Applications, Vol. 11, No. 2 (2013).

 

15.  Wei-Chuan Wang*, Y.H. Cheng and W.C. Lian (2011, Jul). Inverse nodal problems for the p-Laplacian witheigenparameter dependent boundary conditions. Mathematical and Computer Modelling, 54, 2718-2724.

 

16.   C.K. Law, Wei-Cheng Lian and Wei-Chuan Wang (2009, Sep). The inverse nodal problem and the Ambarzumyan problem for p-Laplacian. Proceedings of the Royal Society of Edinburgh, 139A, 1261-1273.

 

 

B.    研討會論文

  1. 王惟權,Some bifurcation analysis and its application related to p-Laplcian,Workshop on Spectral Analysis for Differential Operators at Nanjing University of Science and Technology,2017.8.13-18.
  2. 王惟權,Some inverse problem related to reaction-diffusion models,Workshop on Inverse Problems and Related Subjects at NCTS, 2017.5.27.
  3. 王惟權,Some Oscillation Criteria for a class of nonlinear equations,Workshop on Spectral Analysis of Differential Operators and Related Topics at Tamkang University,2016.9.8
  4. 王惟權,Sign-changing solutions to a class of nonlinear equations involving p-Laplacian,2015 Mathematical Conference and Annual Meeting of the Taiwan Mathematical Society in National Kaohsiung University.
  5. 王惟權,Some direct and inverse problems related to p-Laplacian, Workshop on Direct and Inverse Spectral Problems at National Sun Yat-sen University, Kaohsiung, 2015.9.13.
  6. W.C. Wang, An inverse problem related to some reaction-diffusion models, International Conference on Inverse Problems and Related Topics, at National Taiwan University, Taipei, from Dec 15 to Dec 19, 2014.
  7. W.C. Wang, An inverse problem for nonlinear Sturm-Liouville equations and some related models, The Asian Mathematical Conference 2013, June 30- July 4 in Busan, Korea. (invited speaker)
  8. 王惟權,Prufer Substitutions on the p-Laplacian operator,2012 Mathematical Conference and Annual Meeting of the Taiwan Mathematical Society in National   Chiao Tung University.
  9. 王惟權,Existence of Sign-changing Solutions for the Nonlinear p -Laplacian Boundary Value Problem,2010 Mathematical Conference and Annual Meeting of the Taiwan Mathematical Society in National Changhua University of Education。.
  10. W.C. Wang,The inverse nodal problem and Ambarzumyan problem for the p-Laplacian with integrable potentials, 2010 SIAM Annual Meeting in Pittsburgh.

11.   王惟權,Inverse nodal problems and Ambarzumyan theorem for p-Laplacian,2008年數學年會於清華大學。

12.   王惟權,Product normal forms for reversible maps,中美聯合數學年會於東海大學,2005年。

13.   呂宗澤、王惟權,Spectral Diagram of Schrodinger Equation with Nonseparated Boundary conditions. (微分方程與反問題研討會,94.2.27~28,台北淡江大學)

執行計畫案1.         兩個非線性問題的解集合結構及其應用,主持人,107.8.1~108.7.31 (MOST 107-2115-M-507 -001)。

2.         反應擴散方程的反節點問題以及某類非線性方程的爆破解性質,主持人,106.8.1~107.7.31 (MOST 106-2115-M-507 -001)。

3.         兩個包含p拉普拉斯非線性問題的相關性質,主持人,105.8.1~106.7.31 (MOST 105-2115-M-507 -001)。

4.         兩個關於p拉普拉斯非線性問題變號解的研究,主持人,104.8.1~105.7.31 (MOST 104-2115-M-507 -001)。

5.         兩個非線性問題變號解的相關性質,主持人,103.8.1~104.7.31 (MOST 103-2115-M-507 -001)。

6.         p 拉普拉斯算子中的兩個相關議題,主持人,102.8.1~103.7.31 (NSC 102-2115-M-507 -001)。

7.         FitzHugh-Nagumo型態系統的反節點問題,主持人,101.9.1~102.7.31 (NSC 101-2115-M-507 -001)。

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