共查询到10条相似文献，搜索用时 109 毫秒
1.
Fu-Hsiang Wong 《Proceedings of the American Mathematical Society》1998,126(2):365-374
Sufficient conditions for the uniqueness of positive solutions of singular Sturm-Liouville boundary value problems
where and , are established.
2.
Biagio Ricceri 《Proceedings of the American Mathematical Society》2006,134(4):1117-1124
Here is a particular case of the main result of this paper: Let be a bounded domain, with a boundary of class , and let be two continuous functions, , with 0$">, , with n$">. If
and if the set of all global minima of the function has at least connected components, then, for each 0$"> small enough, the Neumann problem
admits at least strong solutions in .
and if the set of all global minima of the function has at least connected components, then, for each 0$"> small enough, the Neumann problem
admits at least strong solutions in .
3.
Paul A. Binding Pavel Drá bek Yin Xi Huang 《Proceedings of the American Mathematical Society》1997,125(12):3555-3559
Consider
where and and let be the principal eigenvalue of the problem with . For , we discuss for which values of and the Fredholm alternative holds.
4.
Massimo Grossi 《Proceedings of the American Mathematical Society》2000,128(6):1665-1672
We prove that the least-energy solution of the problem
where is a ball, and if , if , is unique (up to rotation) if is small enough.
5.
V. Anuradha D. D. Hai R. Shivaji 《Proceedings of the American Mathematical Society》1996,124(3):757-763
We consider the existence of positive solutions to the BVP
where . Our results extend some of the existing literature on superlinear semipositone problems and singular BVPs. Our proofs are quite simple and are based on fixed point theorems in a cone.
6.
Hirokazu Oka 《Proceedings of the American Mathematical Society》1996,124(10):3143-3150
This paper is concerned with a class of complete second order linear differential equations in a Banach space. We show the existence and uniqueness of classical solutions of
7.
Norimichi Hirano Naoki Shioji 《Proceedings of the American Mathematical Society》2006,134(9):2585-2592
Let , let and let be a bounded domain with a smooth boundary . Our purpose in this paper is to consider the existence of solutions of the problem: where
8.
Naoki Shioji 《Proceedings of the American Mathematical Society》1997,125(10):2921-2929
In this paper, we study the existence of -periodic solutions for the problem
where is a -periodic, pseudo monotone mapping from a reflexive Banach space into its dual.
9.
G. A. Karagulyan 《Proceedings of the American Mathematical Society》2007,135(10):3133-3141
We show that for any infinite set of unit vectors in the maximal operator defined by is not bounded in .
10.
The Dirichlet problem
is considered where the functions and are polynomials. The authors study the problem of determining which functions will admit polynomial solutions for any polynomial . When one additionally requires the classical condition , this forces , and a complete classification is obtained. Some necessary conditions are obtained for the case 2$">.
is considered where the functions and are polynomials. The authors study the problem of determining which functions will admit polynomial solutions for any polynomial . When one additionally requires the classical condition , this forces , and a complete classification is obtained. Some necessary conditions are obtained for the case 2$">.