Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Rafael López-Soriano"'
Publikováno v:
Transactions of the American Mathematical Society. 376:3493-3514
In this paper we shall study qualitative properties of a p p -Stokes type system, namely − Δ p u = − d i v ( | D u | p − 2 D u ) = f ( x , u ) in Ω , \begin{equation*} -{\boldsymbol \Delta }_p{\boldsymbol u}=-\operatorname {\mathbf {div}}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::acc61ae3cc36c3397dacd538ddb89686
https://doi.org/10.1090/tran/8867
https://doi.org/10.1090/tran/8867
Autor:
ALEJANDRO ORTEGA, Rafael López Soriano
In this work we prove a strong maximum principle for fractional elliptic problems with mixed Dirichlet-Neumann boundary data which extends the one proved by J. D\'avila to the fractional setting. In particular, we present a comparison result for two
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d13d724a12efff4b31966a58b0b9f758
Publikováno v:
Nonlinear Analysis. 216:112730
We study the existence of bound and ground states for a class of nonlinear elliptic systems in $\mathbb{R}^N$. These equations involve critical power nonlinearities and Hardy-type singular potentials, coupled by a term containing up to critical power
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6832d820612bd570d8ea29e1dd24459f
https://doi.org/10.1016/j.na.2021.112730
https://doi.org/10.1016/j.na.2021.112730
This paper is concerned with the compactness of metrics of the disk with prescribed Gaussian and geodesic curvatures. We consider a blowing-up sequence of metrics and give a precise description of its asymptotic behavior. In particular, the metrics b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fab6d1bbe805d8adaf8de54c06fcbad6
http://arxiv.org/abs/2004.14680
http://arxiv.org/abs/2004.14680
Autor:
Luca Battaglia, Rafael López-Soriano
We study a double mean field-type PDE related to a prescribed curvature problem on compacts surfaces with boundary. We provide a general blow-up analysis, then a Moser-Trudinger inequality, which gives energy-minimizing solutions for some range of pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0224ef7e955a880a60edb07aeb1b1ee2
http://arxiv.org/abs/1906.10934
http://arxiv.org/abs/1906.10934
Autor:
Rafael López-Soriano, David Ruiz
Publikováno v:
The Journal of Geometric Analysis. 26:630-644
The problem of prescribing the Gaussian curvature under a conformal change of the metric leads to the equation: $$\begin{aligned} -\Delta u +2 = 2 K(x) e^u. \end{aligned}$$ Here we are concerned with the problem posed on a subdomain $$\Sigma \subset
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea1b1f68eebf096580d0d32f8a701c98
https://doi.org/10.1007/s12220-015-9566-x
https://doi.org/10.1007/s12220-015-9566-x
In this paper we consider a mean field problem on a compact surface without boundary in presence of conical singularities. The corresponding equation, named after Liouville, appears in the Gaussian curvature prescription problem in Geometry, and also
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c31ea4a5d0613abdc9b1dfcb073ab84
In this paper we study the problem, posed by Troyanov, of prescribing the Gaussian curvature under a conformal change of the metric on surfaces with conical singularities. Such geometrical problem can be reduced to the solvability of a nonlinear PDE
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8ad6c86a910471be58fe18b5567890f
http://arxiv.org/abs/1507.08090
http://arxiv.org/abs/1507.08090
We consider the following problem: given a bounded domain Ω ⊂ R n and a vector field ζ : Ω → R n , find a solution to − Δ ∞ u − 〈 D u , ζ 〉 = 0 in Ω , u = f on ∂ Ω , where Δ ∞ is the 1-homogeneous infinity Laplace operator t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fcf1ecd4314a1f156a845571a6cdae94
https://hdl.handle.net/10045/34681
https://hdl.handle.net/10045/34681