Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Santos, Ederson Moreira dos"'
We consider systems of the form \[ \left\{ \begin{array}{l} -\Delta u + u = \frac{2p}{p+q}(I_\alpha \ast |v|^{q})|u|^{p-2}u \ \ \textrm{ in } \mathbb{R}^N, \\ -\Delta v + v = \frac{2q}{p+q}(I_\alpha \ast |u|^{p})|v|^{q-2}v \ \ \textrm{ in } \mathbb{R
Externí odkaz:
http://arxiv.org/abs/2409.19885
In this paper, we discuss a class of spectral partition problems with a measure constraint, for partitions of a given bounded connected open set. We establish the existence of an optimal open partition, showing that the corresponding eigenfunctions a
Externí odkaz:
http://arxiv.org/abs/2305.02870
In this paper we consider lower order perturbations of the critical Lane-Emden system posed on a bounded smooth domain $\Omega \subset \mathbb{R}^N$, with $N \geq3$, inspired by the classical results of Brezis and Nirenberg \cite{BrezisNirenberg1983}
Externí odkaz:
http://arxiv.org/abs/2212.04841
We consider the H\'enon equation \begin{equation}\label{alphab} -\Delta u = |x|^{\alpha}|u|^{p-1}u \ \ \textrm{in} \ \ B^N, \quad u = 0 \ \ \textrm{on}\ \ \partial B^N, \tag{$P_{\alpha}$} \end{equation} where $B^N\subset \mathbb{R}^N$ is the open uni
Externí odkaz:
http://arxiv.org/abs/2101.05871
In this paper we exploit the phenomenon of two principal half eigenvalues in the context of fully nonlinear Lane-Emden type systems with possibly unbounded coefficients and weights. We show that this gives rise to the existence of two principal spect
Externí odkaz:
http://arxiv.org/abs/2012.07794
We consider nonlinear second order elliptic problems of the type \[ -\Delta u=f(u) \text{ in } \Omega, \qquad u=0 \text{ on } \partial \Omega, \] where $\Omega$ is an open $C^{1,1}$-domain in $\mathbb{R}^N$, $N\geq 2$, under some general assumptions
Externí odkaz:
http://arxiv.org/abs/2003.13587
In this paper we prove unique continuation principles for some systems of elliptic partial differential equations satisfying a suitable superlinearity condition. As an application, we obtain nonexistence of nontrivial (not necessarily positive) radia
Externí odkaz:
http://arxiv.org/abs/1909.07948
We consider a class of weighted Emden-Fowler equations \begin{equation} \tag{$\mathcal P_{\alpha}$} \label{eqab} \left\{\begin{array}{ll} -\Delta u=V_{\alpha} (x) \, u^p & \text{in} \,\,B,\\ u>0 & \text{in} \,\,B,\\ u=0 & \text{on}\,\,\partial B, \en
Externí odkaz:
http://arxiv.org/abs/1812.09698
We investigate symmetry properties of positive solutions for fully nonlinear uniformly elliptic systems, such as $$ F_i \,(x,Du_i,D^2u_i) +f_i \,(x,u_1, \ldots , u_n,Du_i)=0, \;\; 1 \leq i \leq n, $$ in a bounded domain $\Omega$ in $\mathbb{R}^N$ wit
Externí odkaz:
http://arxiv.org/abs/1812.07161
We consider the equation \[ -\Delta u = |x|^{\alpha} |u|^{p-1}u, \ \ x \in B, \ \ u=0 \quad \text{on} \ \ \partial B, \] where $B \subset {\mathbb R}^2$ is the unit ball centered at the origin, $\alpha \geq0$, $p>1$, and we prove some results on the
Externí odkaz:
http://arxiv.org/abs/1812.03098