We find multiple solutions for semilinear boundary value problems when the corresponding functional exhibits local splitting at zero.

The interaction of two RNA molecules involves a complex interplay between folding and binding that warranted recent developments in RNA-RNA interaction algorithms. However, biological mechanisms in which more than two RNAs take part in an interaction exist. It is reasonable to believe that interactions involving multiple RNAs are generally more complex to be treated pairwise. In addition, given...

This paper discusses issues and solutions for supporting multiple overlapping classifications in database systems. These classifications are commonly found in science, although they are often ignored in computing applications for scientific data, and inappropriate solutions adopted as their replacement. Known database models and classification techniques offer some degree of support for multipl...

In this paper we study a nonlinear eigenvalue problem driven by the p-Laplacian. Assuming for the right-hand side nonlinearity only unilateral and sign conditions near zero, we prove the existence of three nontrivial solutions, two of which have constant sign (one is strictly positive and the other is strictly negative), while the third one belongs to the order interval formed by the two opposi...

The number of repeated trials that is required by an algorithm to produce a given fraction of the problem solutions with a speciied level of conndence is analyzed. The analysis indicates that the number of trials required to nd a large fraction of the solutions rapidly decreases as the number of solutions obtained on each trial by an algorithm increases. In applications where multiple solutions...

Determining point-to-point correspondence in multiple images is a complex problem because of the multiple geometric and photometric transformations and/or occlusions that the same point can undergo in corresponding images. This paper presents a method of pointto-point correspondence analysis based on the combination of two techniques: (1) correspondence analysis through similarity of invariant ...

The main result of this paper proves the existence of multiple solutions to a class of generalized constant mean curvature equations, called H-systems. Also contained is a regularity for conformal nharmonic maps.

The problem of determining whether quadratic programming models possess either unique or multiple optimal solutions is important for empirical analyses which use a mathematical programming framework. Policy recommendations which disregard multiple optimal solutions (when they exist) are potentially incorrect and less than efficient. This paper proposes a strategy and the associated algorithm fo...

A recent multiplicity theorem for the critical points of a functional defined on a finite– dimensional Hilbert space, established by Ricceri, is extended. An application to Dirichlet boundary value problems for difference equations involving the discrete p–Laplacian operator is presented. Mathematics Subject Classification (2000): 39A10, 47J30.

Traditionally, the goal of image segmentation has been to produce a single partition of an image. This partition is compared to some ‘ground truth’, or human approved partition, to evaluate the performance of the algorithm. This paper utilizes a framework for considering a range of possible partitions of the image to compute a probability distribution on the space of possible partitions of the ...