Adisak Seesanea - Publications

Journal Papers

- M.H. Lwin and A. Seesanea, Homogenization of elliptic equations with nonstandard growth coefficients, preprint (submitted).
- A.C. May and A. Seesanea, Fractional sublinear Sobolev inequalities for L-superharmonic functions, preprint (submitted). https://doi.org/10.48550/arXiv.2507.10344.
- S. Khomrutai, A. Schikorra, A. Seesanea and S. Yeepo, Global tangential Calderon-Zygmund type estimates for the regional fractional Laplacian, preprint (submitted). https://doi.org/10.48550/arXiv.2209.07939.
- T. Uemura and A. Seesanea, Homogenization of diffusion processes with singular drifts and potentials via unfolding method, preprint (submitted). https://doi.org/10.48550/arXiv.2306.14307.
- A.Z. Myint, A.C. May, M.H. Lwin, A. Seesanea and T.T. Shwe, Dynamics and pattern formation in a diffusive Beddington-DeAngelis predator-prey model with fear effect, to appear in Discrete Contin. Dyn. Syst., Ser. B. https://doi.org/10.3934/dcdsb.2025113.
- A.C. May and A. Seesanea, Nonlocal sublinear elliptic problems involving measures, J. Math. Anal. Appl. 550 (2025), no. 1, 129513. https://doi.org/10.1016/j.jmaa.2025.129513.
- T. Mengesha, A. Schikorra, A. Seesanea and S. Yeepo, Calderón-Zygmund theory for strongly coupled linear system of nonlocal equations with Hölder-regular coefficient, Adv. Calc. Var. 18 (2025), no. 2, 421–438. https://doi.org/10.1515/acv-2024-0005.
- A.C. May and A. Seesanea, Minimal Lp-solutions to singular sublinear elliptic problems, Results in Applied Mathematics 21 (2024), 100421. https://doi.org/10.1016/j.rinam.2023.100421.
- K. Hirata and A. Seesanea, The Dirichlet problem for sublinear elliptic equations with source, Bull. Sci. Math. 171 (2021), 103030. https://doi.org/10.1016/j.bulsci.2021.103030.
- T. Hara and A. Seesanea, Existence of minimal solutions to quasilinear elliptic equations with several subnatural growth terms, Nonlinear Anal. 197 (2020), 111847. https://doi.org/10.1016/j.na.2020.111847.
- A. Seesanea and I.E. Verbitsky, Finite energy solutions to inhomogeneous nonlinear elliptic equations with sub-natural growth terms, Adv. Calc. Var. 13 (2020), no. 1, 53–74. https://doi.org/10.1515/acv-2017-0035.
- A. Seesanea and I.E. Verbitsky, Solutions in Lebesgue spaces to nonlinear elliptic equations with sub-natural growth terms, Algebra i Analiz 31 (2019), no. 3, 216–238; St. Petersburg Math. J. 31 (2020), no. 3, 557–572. http://mi.mathnet.ru/aa1659; https://doi.org/10.1090/spmj/1614.
- A. Seesanea and I.E. Verbitsky, Solutions to sublinear elliptic equations with finite generalized energy, Calc. Var. Partial Differential Equations 58 (2019), no. 1, Art. 6. https://doi.org/10.1007/s00526-018-1448-1.

Conference Papers

- M.H. Lwin and A. Seesanea, Asymptotic analysis of elliptic equations with drift terms in Lorentz spaces, to appear in the Proceedings of the Asian Mathematical Conference 2025 (AMC2025), Chiang Mai, Thailand.
- T.T. Shwe and A. Seesanea, On the existence of continuous solutions to singular Elliptic problems involving several sublinear terms, to appear in AIP Conference Proceedings of the International Conference on Mathematical Sciences and Technology 2024 (MathTech 2024), Penang, Malaysia.
- A.C. May and A. Seesanea, Integral representations of solutions to Poisson equations, Proceedings of the 17th International Conference of IMBIC on Mathematical Sciences for Advancement of Science and Technology (MSAST 2023), Kolkata, India (2023), 44–61. https://doi.org/10.48550/arXiv.2401.04329.
- E. Schulz and A. Seesanea, Extensions of the Heisenberg groups by two-parameter groups of dilations, Proceedings of the Annual Pure and Applied Mathematics Conference, Chulalongkorn University, Bangkok, Thailand (2013), 147–162. https://doi.org/10.48550/arXiv.1804.10305.

Books

Doctoral Dissertation (under the supervision of Igor E. Verbitsky)

- A. Seesanea, Potential theory methods for some nonlinear elliptic equations, University of Missouri, Columbia, MO, USA (2018). [PDF]

Master's Thesis (under the supervision of Eckart R. Schulz)

- A. Seesanea, Extensions of the Heisenberg group by d-parameter groups of dilations, Suranaree University Technology, Nakhon Ratchasima, Thailand (2012). [PDF]