Zobrazeno 1 - 10
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pro vyhledávání: '"De Marchis, Francesca"'
We consider the elliptic equation $-\Delta u+ u=0$ in a bounded, smooth domain $\Omega\subset\mathbb R^{2}$ subject to the nonlinear Neumann boundary condition $\partial u/\partial\nu = |u|^{p-1}u$ on $\partial\Omega$ and study the asymptotic behavio
Externí odkaz:
http://arxiv.org/abs/2407.20040
We compute the Morse index $\textsf{m}(u_{p})$ of any radial solution $u_{p}$ of the semilinear problem: \begin{equation} \label{problemaAbstract}\tag{P} \left\{ \begin{array}{lr} -\Delta u=|x|^{\alpha}|u|^{p-1}u & \mbox{in } B\\ u=0 & \mbox{ on }\pa
Externí odkaz:
http://arxiv.org/abs/2102.13553
Given a closed Riemann surface $(\Sigma,g)$ and any positive smooth weight, we use a minmax scheme together with compactness, quantization results and with sharp energy estimates to prove the existence of positive critical points of the functional $$
Externí odkaz:
http://arxiv.org/abs/2010.07397
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Autor:
Suvieri, Chiara1 (AUTHOR) chiara.suvieri@unipg.it, De Marchis, Francesca2 (AUTHOR) francesca.demarchis@ibbr.cnr.it, Mandarano, Martina3 (AUTHOR) martina.mandarano@unipg.it, Ambrosino, Sara1 (AUTHOR) sara.ambrosino@studenti.unipg.it, Rossini, Sofia1 (AUTHOR) sofia.rossini@unipg.it, Mondanelli, Giada1 (AUTHOR) giada.mondanelli@unipg.it, Gargaro, Marco1 (AUTHOR) marco.gargaro@unipg.it, Panfili, Eleonora1 (AUTHOR) eleonora.panfili@unipg.it, Orabona, Ciriana1 (AUTHOR) ciriana.orabona@unipg.it, Pallotta, Maria Teresa1 (AUTHOR) maria.pallotta@unipg.it, Belladonna, Maria Laura1 (AUTHOR) marialaura.belladonna@unipg.it, Volpi, Claudia1 (AUTHOR) claudia.volpi@unipg.it
Publikováno v:
International Journal of Molecular Sciences. Nov2023, Vol. 24 Issue 22, p16236. 14p.
Akademický článek
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We compute the Morse index of $1$-spike solutions of the semilinear elliptic problem \begin{equation}\label{abstr} \tag{$\mathcal P_p$} \begin{cases} -\Delta u= u^p & \text{in $\Omega$} \\ u=0 & \text{on $\partial\Omega$} \\ u>0 & \text{in $\Omega$.}
Externí odkaz:
http://arxiv.org/abs/1804.03499
We complete the study of the asymptotic behavior, as $p\rightarrow +\infty$, of the positive solutions to \[ \left\{\begin{array}{lr}-\Delta u= u^p & \mbox{in}\Omega\\ u=0 &\mbox{on}\partial \Omega \end{array}\right. \] when $\Omega$ is any smooth bo
Externí odkaz:
http://arxiv.org/abs/1802.03432
We study the existence of at least one conformal metric of prescribed Gaussian curvature on a closed surface $\Sigma$ admitting conical singularities of orders $\alpha_i$'s at points $p_i$'s. In particular, we are concerned with the case where the pr
Externí odkaz:
http://arxiv.org/abs/1612.03657
In this paper we consider a mean field problem on a compact surface with conical singularities. This problem appears in the Gaussian curvature prescription problem in Geometry, and also in the Electroweak Theory and in the abelian Chern-Simons-Higgs
Externí odkaz:
http://arxiv.org/abs/1612.02080