Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Bonder, J. Fernandez"'
In this work, our interest lies in proving the existence of critical values of the following Rayleigh-type quotients $$Q_{\mathbf p}(u) = \frac{\|\nabla u\|_{\mathbf p}}{\|u\|_{\mathbf p}},\quad\text{and}\quad Q_{\mathbf s,\mathbf p}(u) = \frac{[u]_{
Externí odkaz:
http://arxiv.org/abs/2309.14301
In this work we study a priori bounds for weak solution to elliptic problems with nonstandard growth that involves the so-called $g-$Laplace operator. The $g-$Laplacian is a generalization of the $p-$Laplace operator that takes into account different
Externí odkaz:
http://arxiv.org/abs/2305.06874
In this work we obtain a compactness result for the $H-$convergence of a family of nonlocal and nonlinear monotone elliptic-type problems by means of Tartar's method of oscillating test functions.
Comment: In this revision we added a new section
Comment: In this revision we added a new section
Externí odkaz:
http://arxiv.org/abs/1605.09243
Autor:
Bonder, J. Fernandez, Spedaletti, J.
In this paper we study two optimal design problems associated to fractional Sobolev spaces $W^{s,p}(\Omega)$. Then we find a relationship between these two problems and finally we investigate the convergence when $s\uparrow 1$.
Comment: Modifica
Comment: Modifica
Externí odkaz:
http://arxiv.org/abs/1601.03700
In this paper we analyze an eigenvalue problem related to the nonlocal $p-$laplace operator plus a potential. After reviewing some elementary properties of the first eigenvalue of these operators (existence, positivity of associated eigenfunctions, s
Externí odkaz:
http://arxiv.org/abs/1601.03019
In this work we study the homogenization problem for nonlinear elliptic equations involving $p-$Laplacian type operators with sign changing weights. We study the asymptotic behavior of variational eigenvalues, which consist on a double sequence of ei
Externí odkaz:
http://arxiv.org/abs/1504.03893
In this paper we prove a Lyapunov type inequality for quasilinear problems with indefinite weights. We show that the first eigenvalue is bounded below in terms of the integral of the weight, instead of the integral of its positive part. We apply this
Externí odkaz:
http://arxiv.org/abs/1504.02436
In this work we study the asymptotic distribution of eigenvalues in one-dimensional open sets. The method of proof is rather elementary, based on the Dirichlet lattice points problem, which enable us to consider sets with infinite measure. Also, we d
Externí odkaz:
http://arxiv.org/abs/0906.2198
Autor:
Bonder, J. Fernandez, Silva, A.
In this paper we extend the well-known concentration -- compactness principle of P.L. Lions to the variable exponent case. We also give some applications to the existence problem for the $p(x)-$Laplacian with critical growth.
Externí odkaz:
http://arxiv.org/abs/0906.1922
Autor:
Bonder, J. Fernandez, Pinasco, J. P.
In this work we study the sequence of variational eigenvalues of a system of resonant type involving $p-$ and $q-$laplacians on $\Omega \subset \R^N$, with a coupling term depending on two parameters $\alpha$ and $\beta$ satisfying $\alpha/p + \beta/
Externí odkaz:
http://arxiv.org/abs/0811.1542