This paper is concerned with the existence of multiple solutions to the boundary-value problem âˆ’(Ï†p(u )) = Î»Ï†q(u) + f(u) in (0, 1) , u(0) = u(1) = 0 , where p, q > 1, Ï†x(y) = |y| y, Î» is a realâ€¦ (More)

We study boundary-value problems of the type âˆ’(Ï†p(u )) = Î»f(u), in (0, 1) u(0) = u(1) = 0, where p > 1, Ï†p(x) = |x| pâˆ’2 x, and Î» > 0. We provide multiplicity results when f behaves like a cubic withâ€¦ (More)

We consider the boundary-value problem âˆ’(Ï†p(u )) = Î»f(u) in (0, 1) u(0) = u(1) = 0 , where p > 1, Î» > 0 and Ï†p(x) = |x|x. The nonlinearity f is cubiclike with three distinct roots 0 = a < b < c. Byâ€¦ (More)

This paper is concerned with a study of the quasilinear problem âˆ’(|u|u) = |u| âˆ’ Î», in (0, 1) , u(0) = u(1) = 0 , where p > 1 and Î» âˆˆ R are parameters. For Î» > 0, we determine a lower bound for theâ€¦ (More)

We consider the boundary-value problem âˆ’(Ï†p(u )) = Ï†Î±(u) + Î»Ï†Î²(u) in (0, 1) u(0) = u(1) = 0, where Ï†p(x) = |x| pâˆ’2 x, p, Î±, Î² > 1 and Î» âˆˆ R. We give the exact number of solutions for all Î» and mostâ€¦ (More)

In constructing working shifts, the classical Dantzig (Operation Research 2:339â€“ 341, 1954) set covering model uses a great number of variables which makes computation very complicated for some casesâ€¦ (More)