Stationary radial solutions for a quasilinear Cahn-Hilliard model in space dimensions.
Variational methods and linearization tools towards the spectral analysis of the -Laplacian, especially for the Fredholm alternative.
The Local Stability of Positive Solutions to the Hammerstein Equation with a Nonmonotonic Nemytskii Operator.
A Construction of Stable Subharmonic Orbits in Monotone Time-periodic Dynamical Systems.
Domains of attraction of generic ...-limit sets for strongly monotone discrete-time semigroups.
O motivování žiakov k odovodňovaniu matematických tvrdení
On some properties of -planes of type-2 fuzzy sets
Some basic properties of -planes of type-2 fuzzy sets are investigated and discussed in connection with the similar properties of -cuts of type-1 fuzzy sets. It is known, that standard intersection and standard union of type-1 fuzzy sets (it means intersection and union under minimum t-norm and maximum t-conorm, respectively) are the only cutworthy operations for type-1 fuzzy sets. Recently, a similar property was declared to be true also for -planes of type-2 fuzzy sets in a few papers. Thus,...
OWA operators for discrete gradual intervals: implications to fuzzy intervals and multi-expert decision making
A new concept in fuzzy sets theory, namely that of gradual element, was introduced recently. It is known that the set of gradual real numbers is not ordered linearly. We restrict our attention to a discrete case and propose a class of linear orders for discrete gradual real numbers. Then, using idea of the so-called admissible order of intervals, we present a class of linear orders for discrete gradual intervals. Once we have the linear orders it is possible to define OWA operator for discrete gradual...
Compactness for a Schrödinger operator in the ground-state space over .
Variational methods for a resonant problem with the -Laplacian in .
Sobolev versus Hölder local minimizers and existence of multiple solutions for a singular quasilinear equation
We investigate the following quasilinear and singular problem, where is an open bounded domain with smooth boundary, , , , and . As usual, if , is arbitrarily large if , and if . We employ variational methods in order to show the existence of at least two distinct (positive) solutions of problem (P) in . While following an approach due to Ambrosetti-Brezis-Cerami, we need to prove two new results of separate interest: a strong comparison principle and a...
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