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Recent Submissions

Cibulka, Radek , Roubal, Tomáš
Ioffe-Type Criteria in Extended Quasi-Metric Spaces

We study various regularity properties, including subregularity and semiregularity, of set-valued mappings acting in extended quasi-metric spaces. It turns out that this abstract framework allows to unify criteria for the usual (sub/semi) regularity as well as their directional and Hölder co...

Cibulka, Radek , Fabian, Marián , Roubal, Tomáš
An Inverse Mapping Theorem in Fréchet-Montel Spaces

Influenced by a recent note by M. Ivanov and N. Zlateva, we prove a statement in the style of Nash-Moser-Ekeland theorem for mappings from a Fréchet-Montel space with values in any Fréchet space (not necessarily standard). The mapping under consideration is supposed to be cont...

Cibulka, Radek , Durea, Marius , Pantiruc, Marian , Strugariu, Radu
On the Stability of the Directional Regularity

IIn this paper we select two tools of investigation of the classical metric regularity of set-valued mappings, namely the Ioffe criterion and the Ekeland Variational Principle, which we adapt to the study of the directional setting. In this way, we obtain in a unitary manner&#...

Yin, Wenjie , Li, Tongqing , Zheng, Wei , Hu, Litang , Han, Shin-Chan , Tangdamrongsub, Natthachet , Šprlák, Michal , Huang, Zhiyong
Improving regional groundwater storage estimates from GRACE and global hydrological models over Tasmania, Australia

Accuracy of groundwater storage (GWS) estimates from the Gravity Recovery and Climate Experiment (GRACE) mission usually has certain relations with hydrological models. This study develops a statistical selection approach to optimally estimate GWS from GRACE using two hydrological models: the Glo...

Agudelo Rico, Oscar Iván , del Pino, Manuel , Restrepo, Daniel , Velez, Carlos
On the Morse index of least energy nodal solutions for quasilinear elliptic problems

In this paper we study the quasilinear equation −ε2Δu−Δpu=f(u) in a smooth bounded domain Ω⊂RN with Dirichlet boundary condition, where p>2 and f is a suitable subcritical and p-superlinear function at ∞. First, for ϵ≠0 we prove that Morse index is two for every least ...