최소 단어 이상 선택하여야 합니다.
최대 10 단어까지만 선택 가능합니다.
다음과 같은 기능을 한번의 로그인으로 사용 할 수 있습니다.
NTIS 바로가기Journal of the Korean Mathematical Society = 대한수학회지, v.47 no.4, 2010년, pp.845 - 860
Mashiyev, Rabil A. (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AND ARTS DICLE UNIVERSITY) , Ogras, Sezai (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AND ARTS DICLE UNIVERSITY) , Yucedag, Zehra (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AND ARTS DICLE UNIVERSITY) , Avci, Mustafa (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AND ARTS DICLE UNIVERSITY)
In this paper, using the Nehari manifold approach and some variational techniques, we discuss the multiplicity of positive solutions for the p(x)-Laplacian problems with non-negative weight functions and prove that an elliptic equation has at least two positive solutions....
E. Acerbi and G. Mingione, Regularity results for stationary electro-rheological fluids, Arch. Ration. Mech. Anal. 164 (2002), no. 3, 213-259.
G. A. Afrouzi, S. Mahdavi, and Z. Naghizadeh, The Nehari manifold for p-Laplacian equation with Dirichlet boundary condition, Nonlinear Anal. Model. Control 12 (2007), no. 2, 143-155.
A. Ambrosetti, H. Brezis and G. Cerami, Combined effects of concave and convex nonlinearities in some elliptic problems, J. Funct. Anal. 122 (1994), no. 2, 519-543.
K. J. Brown and Y. Zhang, The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function, J. Differential Equations 193 (2003), no. 2, 481-499.
O. M. Buhrii and R. A. Mashiyev, Uniqueness of solutions of the parabolic variation inequality with variable exponent of nonlinearity, Nonlinear Anal. 10 (2009), 2325-2331.
J. Chabrowski and Y. Fu, Existence of solutions for p(x)-Laplacian problems on a bounded domain, J. Math. Anal. Appl. 306 (2005), no. 2, 604-618.
L. Diening, Theoretical and Numerical Results for Electrorheological Fluids, Ph. D. thesis, University of Frieburg, Germany, 2002.
D. Edmunds and J. Rakosnik, Sobolev embeddings with variable exponent, Studia Math. 143 (2000), no. 3, 267-293.
A. El Hamidi, Existence results to elliptic systems with nonstandard growth conditions, J. Math. Anal. Appl. 300 (2004), no. 1, 30-42.
X. L. Fan, Solutions for p(x)-Laplacian Dirichlet problems with singular coefficients, J. Math. Anal. Appl. 312 (2005), no. 2, 464-477.
X. L. Fan, J. S. Shen, and D. Zhao, Sobolev embedding theorems for spaces $W^{k,p(x)}({\Omega})$ , J. Math. Anal. Appl. 262 (2001), no. 2, 749-760.
X. L. Fan and D. Zhao, On the spaces $L^{p(x)}({\Omega})$ and $W^{m,p(x)}({\Omega})$ , J. Math. Anal. Appl. 263 (2001), no. 2, 424-446.
X. L. Fan and Q. H. Zhang, Existence of solutions for p(x)-Laplacian Dirichlet problem, Nonlinear Anal. 52 (2003), no. 8, 1843-1852.
X. L. Fan, Q. Zhang, and D. Zhao, Eigenvalues of p(x)-Laplacian Dirichlet problem, J. Math. Anal. Appl. 302 (2005), no. 2, 306-317.
T. C. Halsey, Electrorheological fluids, Science 258 (1992), 761-766.
P. Harjulehto, P. Hasto, M. Koskenoja, and S. Varonen, The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values, Potential Anal. 25 (2006), no. 3, 205-222.
P. Hasto, The p(x)-Laplacian and applications, J. Anal. 15 (2007), 53-62.
O. Kovacik and J. Rakosnik, On spaces $L^{p(x)}$ and $W^{k,p(x)}$ , Czechoslovak Math. J. 41(116) (1991), no. 4, 592-618.
R. A. Mashiyev, Some properties of variable Sobolev capacity, Taiwanese J. Math. 12 (2008), no. 3, 671-678.
M. Mihailescu, Existence and multiplicity of solutions for an elliptic equation with p(x)-growth conditions, Glasg. Math. J. 48 (2006), no. 3, 411-418.
M. Mihailescu and V. Radulescu, A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 462 (2006), no. 2073, 2625-2641.
M. Mihailescu and V. Radulescu, On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent, Proc. Amer. Math. Soc. 135 (2007), no. 9, 2929-2937.
S. Ogras, R. A. Mashiyev, M. Avci, and Z. Yucedag, Existence of solutions for a class of elliptic systems in $R^N$ involving the (p(x), q(x))-Laplacian, J. Inequal. Appl. 2008 (2008), Art. Id 612938, 16 pp.
M. Ruzicka, Electrorheological Fluids: modeling and mathematical theory, Springer Lecture Notes in Math. Vol. 1748, Springer Verlag, Berlin, Heidelberg, New York, 2000.
N. S. Trudinger, On Harnack type inequalities and their application to quasilinear elliptic equations, Comm. Pure Appl. Math. 20 (1967), 721-747.
T. F. Wu, Multiplicity of positive solution of p-Laplacian problems with sign-changing weight functions, Int. J. Math. Anal. (Ruse) 1 (2007), no. 9-12, 557-563.
X. Zhang and X. Liu, The local boundedness and Harnack inequality of p(x)-Laplace equation, J. Math. Anal. Appl. 332 (2007), no. 1, 209-218.
V. V. Zhikov, Averaging of functionals of the calculus of variations and elasticity theory, (russian) Izv. Akad. Nauk SSSR Ser. Mat. 50 (1986), no. 4, 675-710, 877.
*원문 PDF 파일 및 링크정보가 존재하지 않을 경우 KISTI DDS 시스템에서 제공하는 원문복사서비스를 사용할 수 있습니다.
오픈액세스 학술지에 출판된 논문
※ AI-Helper는 부적절한 답변을 할 수 있습니다.