Minimax inequality for a special class of functionals and its application to existence of three solutions for a Dirichlet problem in one-dimensional case.
Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string
In this paper we consider a parametric eigenvalue problem related to a vibrating string which is constructed out of two different materials. Using elementary analysis we show that the corresponding principal eigenvalue is increasing with respect to the parameter. Using a rearrangement technique we recapture a part of our main result, in case the difference between the densities of the two materials is sufficiently small. Finally, a simple numerical algorithm will be presented which will also provide...
Multiple global bifurcation branches for nonlinear Picard problems.
Multiple positive solutions for -type semipositone conjugate boundary value problems of nonlinear fractional differential equations.
Multiplicity results for asymmetric boundary value problems with indefinite weights.