88 research outputs found
Existence and multiplicity of Homoclinic solutions for the second order Hamiltonian systems
In this paper we study the existence and multiplicity of homoclinic solutions
for the second order Hamiltonian system ,
, by means of the minmax arguments in the critical
point theory, where is unnecessary uniformly positively definite for all
and sastisfies the asymptotically linear
condition.Comment: published in International Mathematical Forum, Vol. 6, 2011, no. 4,
159 - 17
Existence of Nontrivial Solutions for p-Laplacian Equations in {R}^{N}
In this paper, we consider a p-Laplacian equation in {R}^{N}with
sign-changing potential and subcritical p-superlinear nonlinearity. By using
the cohomological linking method for cones developed by Degiovanni and
Lancelotti in 2007, an existence result is obtained. We also give a result on
the existence of periodic solutions for one-dimensional -Laplacian equations
which can be proved by the same method.Comment: 19 pages, submitte
Infinitely many periodic solutions for second order Hamiltonian systems
In this paper, we study the existence of infinitely many periodic solutions
for second order Hamiltonian systems , where is either asymptotically quadratic or superquadratic as .Comment: to appear in JDE(doi:10.1016/j.jde.2011.05.021
- β¦