논문KCI 등재
Conormal derivative problem for elliptic equations in divergence form with partial Dini mean oscillation coefficients
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We provide detailed proofs for local gradient estimates for weak solutions to elliptic equations in divergence form with partial Dini mean oscillation coefficients subject to conormal derivative boundary conditions.
Abstract
We provide detailed proofs for local gradient estimates for weak solutions to elliptic equations in divergence form with partial Dini mean oscillation coefficients subject to conormal derivative boundary conditions.
참고문헌 (7)
- 최종근, "Gradient estimates for elliptic equations in divergence form with partial Dini mean oscillation coefficients", 대한수학회지, 57(6), pp.1509~1533 (2020), 대한수학회[DOI]
- Hongjie Dong, "Gradient estimates for parabolic and elliptic systems from linear laminates", Arch. Ration. Mech. Anal, 205(1), pp.119~149 (2012)
- Hongjie Dong, "On C 1, C 2, and weak type-(1, 1)estimates for linear elliptic operators: part II", Math. Ann., 370(1-2), pp.447~489 (2018)
- Hongjie Dong, "On C 1, C 2, and weak type-(1, 1) estimates for linear elliptic operators", Comm. Partial Differential Equations, 42(3), pp.417~435 (2017)
- Hongjie Dong, "On conormal and oblique derivative problem for elliptic equations with Dini mean oscillation coefficients", Indiana Univ. Math. J., 69(6), pp.1815~1853 (2020)
- Hongjie Dong, "Classical solutions of oblique derivative problem in nonsmooth domains with mean Dini coefficients", Trans. Amer. Math. Soc, 373(7), pp.4975~4997 (2020)
- Gary M., "Lieberman. H¨older continuity of the gradient of solutions of uniformly parabolic equations with conormal boundary conditions", Ann. Mat. Pura Appl, 148, pp.77~99 (1987)
관련 논문AI추천
Gradient estimates for elliptic equations in divergence form with partial Dini mean oscillation coefficients김세익, 최종근, Kyungrok Lee대한수학회 · 대한수학회지2020 · 제57권 제6호Global regularity of solutions to quasilinear conormal derivative problem with controlled growth김도윤대한수학회 · 대한수학회지2012 · 제49권 제6호Note on local estimates for weak solution of boundary value problem for second order parabolic equation최종근대한수학회 · 대한수학회보2016 · 제53권 제4호Elliptic obstacle problems with measurable nonlinearities in non-smooth domains김유찬, 유승진대한수학회 · 대한수학회지2019 · 제56권 제1호GLOBAL GRADIENT ESTIMATES FOR NONLINEAR ELLIPTIC EQUATIONS유승진대한수학회 · 대한수학회지2014 · 제51권 제6호Lipschitz regularity of homogenization with continuous coefficients: Dirichlet problem이성진대한수학회 · 대한수학회지2025 · 제62권 제4호
이 간행물의 다른 논문 (19건)
The Cherednik and the Gaussian Cherednik Windowed transforms on $\mathbb{R}^d$ in the W-invariant caseAmina Hassini, Khalifa Trimechepp. 649-671Some description of essential structured approximate and defect pseudospectrumAref Jeribi, Kamel Mahfoudhi, Aymen Ammarpp. 673-697Bounds of Hankel determinants for analytic functionBulent Nafi Ornekpp. 699-715On weighted generalization of opial type inequalities in two variablesArtion Kashuri, Huseyin Budak, Mehmet Zeki Sarikayapp. 717-737A note on almost Ricci soliton and gradient almost Ricci soliton on para-Sasakian manifoldsKrishnendu De, Uday Chand Depp. 739-751