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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We study the homogeneous Dirichlet boundary value problem of generalized Laplacian systems with a singular weight which may not be in $L^{1}$. Using the well-known fixed point theorem on cones, we obtain the multiplicity results of positive solutions under two different asymptotic behaviors of the nonlinearities at $0$ and $\infty$. Furthermore, a global result of positive solutions for one special case with respect to a parameter is also obtained.
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참고문헌 (23)
참고문헌 신청
Ravi P. Agarwal / 2002 / Eigenvalues and the One-Dimensional p-Laplacian / Journal of Mathematical Analysis and Applications 266(2):383~400
R. P. Agarwal / 2006 / General existence principles for nonlocal boundary value problems with Φ-Laplacian and their applications / Abstr. Appl. Anal 2006(30):30
Ravi P. Agarwal / 2007 / Positive and dead core solutions of singular Dirichlet boundary value problems with Φ-Laplacian / Computers & Mathematics with Applications 54(2):255~266
Ravi P. Agarwal / 2008 / Dead cores of singular Dirichlet boundary value problems with ϕ-Laplacian / Applications of Mathematics 53(4):381~399
Dingyong Bai / 2013 / Three positive solutions for a generalized Laplacian boundary value problem with a parameter / Applied Mathematics and Computation 219(9):4782~4788
R. P. Agarwal / 2006 / General existence principles for nonlocal boundary value problems with Φ-Laplacian and their applications / Abstr. Appl. Anal 2006(30):30
Ravi P. Agarwal / 2007 / Positive and dead core solutions of singular Dirichlet boundary value problems with Φ-Laplacian / Computers & Mathematics with Applications 54(2):255~266
Ravi P. Agarwal / 2008 / Dead cores of singular Dirichlet boundary value problems with ϕ-Laplacian / Applications of Mathematics 53(4):381~399
Dingyong Bai / 2013 / Three positive solutions for a generalized Laplacian boundary value problem with a parameter / Applied Mathematics and Computation 219(9):4782~4788
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