Zobrazeno 1 - 10
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pro vyhledávání: '"Humberto Ramos"'
Given a real Banach space $X$, we show that the Nehari manifold method can be applied to functionals which are $C^1$ in $X \setminus \{0\}$. In particular we deal with functionals that can be unbounded near $0$, and prove the existence of a ground st
Externí odkaz:
http://arxiv.org/abs/2409.05138
We look for critical points with prescribed energy for the family of even functionals $\Phi_\mu=I_1-\mu I_2$, where $I_1,I_2$ are $C^1$ functionals on a Banach space $X$, and $\mu \in \mathbb{R}$. For several classes of $\Phi_\mu$ we prove the existe
Externí odkaz:
http://arxiv.org/abs/2202.10175
We investigate zero energy critical points for a class of functionals $\Phi_\mu$ defined on a uniformly convex Banach space, and depending on a real parameter $\mu$. More precisely, we show the existence of a sequence $(\mu_n)$ such that $\Phi_{\mu_n
Externí odkaz:
http://arxiv.org/abs/2109.00930
Autor:
Quoirin, Humberto Ramos, Silva, Kaye
We analyze the topological structure of the Nehari set for a class of functionals depending on a real parameter $\lambda$, and having two degrees of homogeneity. A special attention is paid to the extremal parameter $\lambda^*$, which is the threshol
Externí odkaz:
http://arxiv.org/abs/2107.00777
Given a reflexive Banach space $X$, we consider a class of functionals $\Phi \in C^1(X,\Re)$ that do not behave in a uniform way, in the sense that the map $t \mapsto \Phi(tu)$, $t>0$, does not have a uniform geometry with respect to $u\in X$. Assumi
Externí odkaz:
http://arxiv.org/abs/2011.07615
Autor:
Quoirin, Humberto Ramos
We establish uniqueness results for quasilinear elliptic problems through the criterion recently provided in \cite{DFMST}. We apply it to generalized $p$-Laplacian subhomogeneous problems that may admit multiple nontrivial nonnegative solutions. Base
Externí odkaz:
http://arxiv.org/abs/2008.07554
We consider the problem $$ (P_\lambda)\quad -\Delta_{p}u=\lambda u^{p-1}+a(x)u^{q-1},\quad u\geq0\quad\mbox{ in }\Omega $$ under Dirichlet or Neumann boundary conditions. Here $\Omega$ is a smooth bounded domain of $\mathbb{R}^{N}$ ($N\geq1$), $\lamb
Externí odkaz:
http://arxiv.org/abs/2007.09498
Publikováno v:
Rend. Istit. Mat. Univ. Trieste 52 (2020) 217-241
We review the indefinite sublinear elliptic equation $-\Delta u=a(x)u^{q}$ in a smooth bounded domain $\Omega\subset\mathbb{R}^{N}$, with Dirichlet or Neumann homogeneous boundary conditions. Here $0
Externí odkaz:
http://arxiv.org/abs/2004.01284
We investigate non-existence of nonnegative dead-core solutions for the problem $$|Du|^\gamma F(x, D^2u)+a(x)u^q = 0 \quad \mbox{in} \quad \Omega, \quad u=0 \quad \mbox{ on } \quad \partial\Omega.$$ Here $\Omega \subset \mathbb{R}^N$ is a bounded smo
Externí odkaz:
http://arxiv.org/abs/2002.06700