AN EIGENVALUE PROBLEM FOR A NON-BOUNDED QUASILINEAR OPERATOR

An Eigenvalue Problem for a Non-bounded Quasilinear Operator

In this paper we study the eigenvalues associated with a positive eigenfunction of a quasilinear elliptic problem with an operator that is not necessarily bounded. For that, we use the bifurcation theory and obtain the existence of positive solutions for a range of values of the bifurcation parameter.

On an Inverse Eigenvalue Problem for a Semilinear Sturmäliouville Operator

ON AN EIGENVALUE PROBLEM INVOLVING THE p(x)–LAPLACE OPERATOR PLUS A NON–LOCAL TERM

We study an eigenvalue problem involving variable exponent growth conditions and a non-local term, on a bounded domain Ω ⊂ RN . Using adequate variational techniques, mainly based on the mountain-pass theorem of A. Ambrosetti and P. H. Rabinowitz, we prove the existence of a continuous family of eigenvalues lying in a neighborhood at the right of the origin. Mathematics subject classification (...

Existence Results for a Dirichlet Quasilinear Elliptic Problem

In this paper, existence results of positive classical solutions for a class of second-order differential equations with the nonlinearity dependent on the derivative are established. The approach is based on variational methods.

AN EFFICIENT CROSSOVER OPERATOR FOR TRAVELING SALESMAN PROBLEM

Crossover operator plays a crucial role in the efficiency of genetic algorithm (GA). Several crossover operators have been proposed for solving the travelling salesman problem (TSP) in the literature. These operators have paid less attention to the characteristics of the traveling salesman problem, and majority of these operators can only generate feasible solutions. In this paper, a crossover ...