共查询到8条相似文献,搜索用时 0 毫秒
1.
Philip Korman 《NoDEA : Nonlinear Differential Equations and Applications》2008,15(3):335-346
The problem (where B is a unit ball in R
n
)
, with , is known to have a curve of positive solutions bifurcating from infinity at λ = λ1, the principal eigenvalue. It turns out that a similar situation may occur, when g(u) is oscillatory for large u, instead of being small. In case n = 1, we can also prove existence of infinitely many solutions at λ = λ1 on this curve. Similarly, we consider oscillatory bifurcation from zero.
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2.
Alexandru Kristá ly Csaba Varga 《Proceedings of the American Mathematical Society》2007,135(7):2121-2126
For certain positive numbers and we establish the multiplicity of solutions to the problem where is a bounded open domain in containing the origin with smooth boundary while is continuous, superlinear at zero and sublinear at infinity.
3.
In this paper, we deal with the existence of infinitely many homoclinic solutions for the damped vibration problems where A is an antisymmetry N × N constant matrix, we establish some new existence results to guarantee that the above system has infinitely many homoclinic solutions under more relaxed assumptions on W(t,x), which satisfies a kind of new subquadratic condition by using fountain theorem. Recent results in the literature are generalized and significantly improved. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
4.
In this paper, Fucik spectrum, ordinary differential equation theory of Banach spaces and Morse theory are used to study semilinear
elliptic boundary value problems with jumping nonlinearities at zero or infinity, and some new results on the existence of
nontrivial solutions, multiple solutions and sign-changing solutions are obtained. In one case seven nontrivial solutions
are got. The techniques have independent interest. 相似文献
5.
In this paper, we deal with the existence and multiplicity of homoclinic solutions of the following damped vibration problems where L(t) and W(t, x) are neither autonomous nor periodic in t. Our approach is variational and it is based on the critical point theory. We prove existence and multiplicity results of fast homoclinic solutions under general growth conditions on the potential function. Our theorems appear to be the first such result and our results extend some recent works. 相似文献
6.
7.
Athanasios N. Lyberopoulos 《Journal of Functional Analysis》2009,257(11):3593-3657
We study the existence versus absence of nontrivial weak solutions for a class of indefinite quasilinear elliptic problems on unbounded domains with noncompact boundary, in the presence of competing lower order nonlinearities with potentials decaying to zero at infinity. 相似文献
8.
Annamaria Barbagallo 《Journal of Global Optimization》2008,40(1-3):29-39
The aim of this paper is to obtain the continuity of solutions to time-dependent nonlinear variational and quasi-variational
inequalities which express many dynamic equilibrium problems. To prove our results, we make use of Minty’s Lemma and of the
notion of the Mosco’s convergence. 相似文献