논문KCI 등재
A quasilinear elliptic system with integral boundary conditions
1
조회
0
다운로드
1
인용
0
참고문헌
주제분류수학
초록
quasilinear elliptic system with integral boundary conditions: [수식] where [수식and gi : [0, 1] → R+ (i = 0, ..., 3) are a continuous functions. Existence of solutions of (1 ) is discussed by using upper and lower solutions method and monotone iterative technique.
Abstract
quasilinear elliptic system with integral boundary conditions: [수식] where [수식and gi : [0, 1] → R+ (i = 0, ..., 3) are a continuous functions. Existence of solutions of (1 ) is discussed by using upper and lower solutions method and monotone iterative technique.
참고문헌 (14)
- A. V. Bitsadze, "On the theory of nonlocal boundary value problems", Soviet Math. Dock., 30, pp.8~10 (1964)
- A. V. Bitsadze, "Some elementary generalizations of linear elliptic boundary value problems", Dokl. Akad. Nauk SSSR, 185, pp.739~740 (1969)
- A. Boucherif, "Positive solutions of second order di¤erential equations with integral boundary conditions", Discrete and Continuous Dynamical Systems Supplement, 155~159 (2007)
- A. Boucherif, "Nonlinear second order ordinary dif- ferential equations with nonlocal boundary conditions", Comm. in Applied Nonl. Anal., 5, pp.73~85 (1998)
- A. Cañada, "Existence of positive solutions for some problems with nonlinear di¤usion", Transactions of the American Mathematical Society, 349(10), pp.4231~4249 (1997)
- J. R. Cannon, "The solution of the heat equation subject to the spec- i…cation of energy", Quarterly Applied Math., 21(2), pp.155~160 (1963)
- V. Capasso, "A reaction-di¤usion system arising in mod- eling man-environment diseases", Q. Appl. Math., 46, pp.431~449 (1988)
- R. Yu Chegis, "Numerical solution of a heat conduction problem with an integral boundary conditions", Litovsk. Mat. Sb., 24, pp.209~215 (1984)
- M. Cherpion, "Monotone iterative meth- ods for boundary value problems", Di¤erential and Integral Equations, 12, pp.309~338 (1999)
- M. Delgado, "Existence of solutions for elliptic systems with Holder continuous nonlinearities", Di¤erential and Integral Equations, 13(4), pp.453~477 (2000)
- V. Il0in, "Nonlocal boundary value problems of the …rst kind for a Sturm-Liouville operator in its di¤erential and …nite di¤erence aspects", Di¤erential Equations, 23, pp.803~810 (1987)
- N. I. Ionkin, "Solution of a boundary value problem in heat conduction theory with nonlocal boundary conditions", Di¤erential Equations, 13, pp.294~304 (1977)
- D. O’regan, "Some general existence principles and results for ( (y0))0 = qf (t; y; y0)", Siam J. Math. Anal., 24(3), pp.648~668 (1993)
- C. V. Pao, "Nonlinear parabolic and elliptic equations" (1992), Plenum Press
관련 논문AI추천
Existence of Positive Solution for a Semipositone System with Integral Boundary Values고은경, 이은경영남수학회 · East Asian Mathematical Journal2020 · 제36권 제5호Fundamental theorem of upper and lower solutions for a class of singular (p1,p2)-Laplacian systems서향혜, 이용훈영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호Existence of solutions for elliptic system with nonlinearities under the Dirichlet boundary condition남혜원강원경기수학회 · 한국수학논문집2015 · 제23권 제4호At least four solutions to the nonlinear elliptic system정택선, 최규흥강원경기수학회 · 한국수학논문집2009 · 제17권 제2호Improved multiplicity results for fully nonlinear parabolic systems정택선, 최규흥강원경기수학회 · 한국수학논문집2009 · 제17권 제3호SOLVABILITY FOR A CLASS OF THE SYSTEMS OF THE NONLINEAR ELLIPTIC EQUATIONS정택선, 최규흥대한수학회 · 대한수학회보2012 · 제49권 제1호
이 간행물의 다른 논문 (11건)
Concerning Fundamental Mathematical and Physical Defects in the General Theory of RelativityStephen J. Crotherspp. 109-118On values of Jacobi forms and elliptic Dedekind sumsAbdelmejid Bayadpp. 119-139ON SOME PROPERTIES OF THE SPACESAydin, Gürkanlipp. 141-155A note on interval-valued inclusion measures김현미, 김태균, 장이채pp. 157-163ELEMENTARY ABELIAN COVERINGS OF REGULAR HYPERMAPS OF TYPES (5, 5, 5) AND (5, 2, 10) OF GENUS 2Mustafa Kazazpp. 189-202
