V??chodiska: Mlad???­ dospÄ?lost je z v??vojov?Šho hlediska pova?žov??na za dynamick?Š obdob?­ (f??zi intenzivn?­ho rozvoje), kdy u jedince doch??z?­ k p??emÄ?nÄ? od nezral?Š ke zral?Š osobnosti. V p???­padÄ? vysoko??kolsk?Šho studia jedinec vystaven po?žadavk??m vypl??vaj?­c?­ch v??vojov?Š f??ze, kterou proch??z?­, ale i stresu spojen?Šho s n??roky a po?žadavky studia. Strategie zvl??d??n?­ js...

In this work we consider the fractional Kirchhoff equations with singular nonlinearity, $$\displaylines{ M\Big( \int_{\mathbb{R}^{2N}}\frac{|u(x)-u(y)|^p}{|x-y|^{N+sp}}dx dy\Big) (-\Delta)^s_p u = \lambda a(x)|u|^{q-2}u +\frac{1-\alpha}{2-\alpha-\beta} c(x)|u|^{-\alpha}|v|^{1-\beta}, \quad \text{in }\Omega,\cr \int_{\mathbb{R}^{2N}}\frac{|v(x)-v(y)|^p}{|x-y|^{N+sp}}dx v \mu b(x)|v|^{q-2}v +\fra...

Je zn??m??m faktem, ?že onemocnÄ?n?­ zp??soben?Š koronavirem nebo jinak ??ečeno COVID-19 se i nad??le ???­???­ cel??m svÄ?tem, a to prost??ednictv?­m na??ich společensk??ch aktivit. U osob, kter?Š sleduj?­ zpravodajstv?­ zejm?Šna soci??ln?­ch m?Šdi?­ on-line statut??, m???že vyvol??vat pocity paniky. Pandemie st??le p??edstavuje obrovskou hrozbu pro n???? ka?ždodenn?­ ?život, na??i zdravotn?­...

We prove local boundedness and Hölder continuity for weak solutions to nonlocal double phase problems concerning the following fractional energy functional?Rn?Rn|v(x)?v(y)|p|x?y|n+sp+a(x,y)|v(x)?v(y)|q|x?y|n+tqdxdy, where 0<s?t<1<p?q<? a(?,?)?0. For such regularity results, we identify sharp assumptions on modulating coefficient a(?,?) powers s,t,p,q which are analogous those problems. On prouv...

t h e s p e c i a l c o n c e n t r i c a l l y b r a c e d f r a m e (s c b f) i s a c o m m o n t y p e o f s t e e l s t r u c t u r a l s y s t e m f o r r e s i s t i n g l a t e r a l l o a d i n g. t h i s t y p e o f s y s t e m p r o v i d e s t h e r e q u i r e d s t i f f n e s s a n d s t r e n g t h a t r e l a t i v e l y l o w c o s t. d e s i g n c o d e s, b a s e d o n p a s ...

Let a and b be distinct positive integers. We show that the equation u + a · p = v + b · p has no solutions with u, v ∈ βN and p ∈ βN\N. More generally, we show that if (S,+) is any commutative cancellative semigroup and S has no nontrivial solutions to n · s = n · t for n ∈ N and s, t ∈ S, then the equation u + a · p = v + b · p has no solutions with u, v ∈ βS and p ∈ βS\S. We characterize com...