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41.
The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular
Dirichlet problem (ϕ(u′))′ = λf(t, u, u′), u(0) = u(T) = A. Here λ is the positive parameter, A > 0, f is singular at the value 0 of its first phase variable and may be singular at the value A of its first and at the value 0 of its second phase variable.
This work was supported by grant no. A100190703 of the Grant Agency of the Academy of Sciences of the Czech Republic and by
the Council of Czech Government MSM 6198959214. 相似文献
42.
Alexander I. Nazarov 《Journal of Global Optimization》2008,40(1-3):289-303
We describe recent results on attainability of sharp constants in the Sobolev inequality, the Sobolev–Poincaré inequality,
the Hardy–Sobolev inequality and related inequalities. This gives us the solvability of boundary value problems to critical
Emden–Fowler equations.
相似文献
43.
T.A. Chapman 《Topology and its Applications》1982,14(3):247-262
In this paper a boundary theorem for Hilbert cube manifolds is established,where it is required that the boundary be put on the manifold with arbitrarily small control in a given compact metric parameter space. 相似文献
44.
本文对Feigenbaum函数方程的一般偶连续解作了一些构造性的研究,进而对任意的 0<λ<1给出了C~∞偶解. 相似文献
45.
Let
be a compact Riemannian manifold without boundary. In this paper, we consider the first nonzero eigenvalue of the p-Laplacian
and we prove that the limit of
when
is 2/d(M), where d(M) is the diameter of M. Moreover, if
is an oriented compact hypersurface of the Euclidean space
or
, we prove an upper bound of
in terms of the largest principal curvature κ over M. As applications of these results, we obtain optimal lower bounds of d(M) in terms of the curvature. In particular, we prove that if M is a hypersurface of
then:
.
Mathematics Subject Classifications (2000): 53A07, 53C21. 相似文献
46.
Petru Jebelean Gheorghe Moro?anu 《Journal of Mathematical Analysis and Applications》2006,313(2):738-753
This paper is concerned with the existence of solutions for the boundary value problem
47.
In this paper we consider the multipoint boundary value problem for one-dimensional p-Laplacian
48.
In the paper, we deal with positive solutions of the following nonlinear three-point singular boundary value problem with a p-Laplacian operator:
49.
50.
On positive solutions of eigenvalue problems for a class of \emph{p}-Laplacian fractional differential equations
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In this paper, we are concerned with the eigenvalue problem of a class of \emph{p}-Laplacian fractional differential equations involving integral boundary conditions. New criteria are established for the existence of positive solutions of the problem under some superlinear and suberlinear conditions. The results of the existence of at least one, two and the nonexistence of positive solutions are also obtained by using the fixed point theory. Finally, several examples are provided to illustrate the obtained results. 相似文献