Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Antonella Ritorto"'
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:8903-8924
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::617126189693b1ed67f9a45542dd8e70
https://doi.org/10.1002/mma.7320
https://doi.org/10.1002/mma.7320
Motivated by the direct method in the calculus of variations in $L^{\infty}$, our main result identifies the notion of convexity characterizing the weakly$^*$ lower semicontinuity of nonlocal supremal functionals: Cartesian level convexity. This new
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e88434b4424050190a9cd89ff3185f05
Publikováno v:
Journal of Mathematical Analysis and Applications. 507:125742
We prove the existence of an extremal function in the Hardy-Littlewood-Sobolev inequality for the energy associated to an stable operator. To this aim we obtain a concentration-compactness principle for stable processes in R N .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::994ef2c6dd4f4115db54c4afbd117da4
https://doi.org/10.1016/j.jmaa.2021.125742
https://doi.org/10.1016/j.jmaa.2021.125742
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
In this work we study a family of shape optimization problem where the state equation is given in terms of a nonlocal operator. Examples of the problems considered are monotone combinations of fractional eigenvalues. Moreover, we also analyze the tra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f52c19fe549256b639284d56ed2fc962
https://doi.org/10.1515/acv-2016-0065
https://doi.org/10.1515/acv-2016-0065
We study the nonlocal nonlinear problem \begin{equation}\label{ppp} \left\{ \begin{array}[c]{lll} (-\Delta)^s u = \lambda f(u) & \mbox{in }\Omega, \\ u=0&\mbox{on } \mathbb{R}^N\setminus\Omega, \end{array} \right. \tag{$P_{\lambda}$} \end{equation} w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e12cbfa45fe8a5e46597c956be6c1d2
http://arxiv.org/abs/1909.03208
http://arxiv.org/abs/1909.03208