지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
이 논문의 연구 히스토리 (2)
- 이 논문의 후속연구가 궁금하신가요?
- 연관 학술논문 또는 학술발표를 통해 보다 발전된 연구결과를 확인하실 수 있습니다.
- 이 논문의 연구 히스토리 확인하기
초록· 키워드
오류제보하기
The Calder\'{o}n-Zygmund type estimate is proved for elliptic obstacle problems in bounded non-smooth domains. The problems are related to divergence form nonlinear elliptic equation with measurable nonlinearities. Precisely, nonlinearity $\ba(\xi,x_1,x')$ is assumed to be only measurable in one spatial variable $x_1$ and has locally small BMO semi-norm in the other spatial variables $x'$, uniformly in $\xi$ variable. Regarding non-smooth domains, we assume that the boundaries are locally flat in the sense of Reifenberg. We also investigate global regularity in the settings of weighted Orlicz spaces for the weak solutions to the problems considered here.
목차
등록된 정보가 없습니다.
참고문헌 (36)
참고문헌 신청
G. Bao / 2013 / On very weak solutions to a class of double obstacle problems / J. Math. Anal. Appl 402(2):702~709
P. Baroni / 2014 / Lorentz estimates for obstacle parabolic problems / Nonlinear Anal 96:167~188
M. Bildhauer / 2001 / A priori gradient bounds and local C1;α-estimates for(double)obstacle problems under non-standard growth conditions / Z. Anal. Anwendungen 20(4):959~985
T. A. Bui / 2017 / W¹;p(·)regularity for quasilinear problems with irregular ob-stacles on Reifenberg domains / Commun. Contemp. Math 19(6):19
V. Bogelein / 2011 / Degenerate problems with irregular obstacles / J. Reine Angew. Math 650:107~160
P. Baroni / 2014 / Lorentz estimates for obstacle parabolic problems / Nonlinear Anal 96:167~188
M. Bildhauer / 2001 / A priori gradient bounds and local C1;α-estimates for(double)obstacle problems under non-standard growth conditions / Z. Anal. Anwendungen 20(4):959~985
T. A. Bui / 2017 / W¹;p(·)regularity for quasilinear problems with irregular ob-stacles on Reifenberg domains / Commun. Contemp. Math 19(6):19
V. Bogelein / 2011 / Degenerate problems with irregular obstacles / J. Reine Angew. Math 650:107~160
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Existence of solutions for elliptic system with nonlinearities under the Dirichlet boundary condition
한국수학논문집
2015 .01
-
A weak solution for a class of the elliptic systems with even functional
Advanced Studies in Contemporary Mathematics
2017 .01
-
NOTE ON LOCAL BOUNDEDNESS FOR WEAK SOLUTIONS OF NEUMANN PROBLEM FOR SECOND-ORDER ELLIPTIC EQUATIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2015 .06
-
A note on comparison principle for elliptic obstacle problems with $L^{1}$-data
대한수학회보
2023 .03
-
THE EXISTENCE OF THE SOLUTION OF ELLIPTIC SYSTEM APPLYING TWO CRITICAL POINT THEOREM
충청수학회지
2018 .01
-
On nonlinear elliptic equations with singular lower order term
대한수학회보
2021 .01
-
On a class of noncooperative fourth-order elliptic systems with nonlocal terms and critical growth
대한수학회지
2019 .01
-
Multiplicity of solutions of elliptic system using two critical point theorem
한국수학논문집
2017 .01
-
Boundary Value Problem for One-Dimensional Elliptic Jumping Problem with Crossing $n-$eigenvalues
East Asian Mathematical Journal
2019 .01
-
Blow-up of solutions for wave equations with strong damping and variable-exponent nonlinearity
대한수학회지
2021 .01
-
The boundary Harnack principle in H\"{o}lder domains with a strong regularity
대한수학회보
2016 .01
-
ON SOME UNBOUNDED DOMAINS FOR A MAXIMUM PRINCIPLE
순수 및 응용수학
2016 .01
-
NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATION WITH A DAMPING TERM
충청수학회지
2017 .01
-
MULTIPLICITY OF SOLUTIONS FOR QUASILINEAR SCHRODINGER TYPE EQUATIONS WITH THE CONCAVE-CONVEX NONLINEARITIES
대한수학회지
2021 .11
-
Gradient type estimates for linear elliptic systems from composite materials
대한수학회지
2023 .05
-
Global attractors for nonlocal parabolic equations with a new class of nonlinearities
대한수학회지
2018 .01
-
Global nonexistence for the wave equation with boundary variable exponent nonlinearities
대한수학회지
2022 .01
-
Multiplicity result of the solutions for a class of the elliptic systems with subcritical Sobolev exponents
한국수학논문집
2015 .01
-
Applications of topolological methods to the semilinear biharmonic problem with different powers
한국수학논문집
2017 .01
-
Uniqueness of solutions of a certain nonlinear elliptic equation on Riemannian manifolds
대한수학회보
2018 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0