Nonlinear functional analysis and its applications
Nonlinear functional analysis and its applications
The quasi-minimizer of integral functionals with m(x) growth conditions
Nonlinear Analysis: Theory, Methods & Applications
Some boundary value problems for Hartman-type perturbations of the ordinary vector p-Laplacian
Nonlinear Analysis: Theory, Methods & Applications - Lakshmikantham's Legacy: A tribute on his 75th birthday
| Hi-index | 0.00 |
Consider the weighted p(t)-Laplacian ordinary system {-(w(t)|u'(t)|p(t)-2u'(t))' + w(t)f(t,u(t)) = 0 in (a,b), u(a) = u(b) = 0, where f ∈ C([a,b] × RN,RN), w∈C([a,b],R), p∈C([a,b],R) and p(t) 1 for t ∈[a,b]. It is proved that if ∃R 0 such that 〈f(t,u),u〉 ≥ 0, ∀t∈[a,b], ∀u∈RN with |u| = R, then the problem has a solution u such that |u(t)| ≤ R for t ∈ [a, b]. As a corollary of this result, taking w(t) = tn-1, we obtain the existence of the radial solutions for the elliptic systems. Our result generalized the corresponding results obtained by Hartman and Mawhin.