Search Results - "Fernandez Bonder, J"

Some Optimization Problems for p-Laplacian Type Equations by Del Pezzo, LM, Fernandez Bonder, J

“…In this paper we study some optimization problems for nonlinear elastic membranes. More precisely, we consider the problem of optimizing the cost functional…”
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Existence of Eigenvalues for Anisotropic and Fractional Anisotropic Problems via Ljusternik-Schnirelmann Theory by Dussel, I. Ceresa, 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…”
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The best Sobolev trace constant in domains with holes for critical or subcritical exponents by Fernandezbonder, J., Orive, R., Rossi, J. D.

“…In this paper we study the best constant in the Sobolev trace embedding H1 (Ω) →Lq(∂Ω) in a bounded smooth domain for 1 < q < 2+ = 2(N - 1)/(N - 2), that is,…”
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Some nonlocal optimal design problems by 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…”
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H-$convergence result for nonlocal elliptic-type problems via Tartar's method by Bonder, J. Fernandez, Ritorto, A, Salort, A. M

“…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…”
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An optimization problem for the first eigenvalue of the $p-$fractional laplacian by Del Pezzo, L, Bonder, J. Fernandez, Lopez-Rios, L

“…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…”
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The concentration-compactness principle for variable exponent spaces and applications by 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…”
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A priori estimates for solutions of $g$-Laplace type problems by Ceresa-Dussel, I, Bonder, J. Fernández, Silva, A

“…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…”
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Estimates for the Sobolev trace constant with critical exponent and applications by Bonder, J. Fernandez, Saintier, N

“…Ann. Mat. Pura Appl, 187 (2008), no. 4, 683--704. In this paper we find estimates for the optimal constant in the critical Sobolev trace inequality…”
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Precise asymptotic of eigenvalues of resonant quasilinear systems by 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…”
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Some optimization problems for nonlinear elastic membranes by Del Pezzo, L, Bonder, J. Fernandez

“…In this paper we study some optimization problems for nonlinear elastic membranes. More precisely, we consider the problem of optimizing the cost functional…”
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Refined asymptotics for eigenvalues on domains of infinite measure by Bonder, J. Fernandez, Pinasco, J. P, Salort, A. M

“…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…”
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A NONLINEAR EIGENVALUE PROBLEM WITH INDEFINITE WEIGHTS RELATED TO THE SOBOLEV TRACE EMBEDDING by Bonder, Julián Fernández, Rossi, Julio D.

“…In this paper we study the Sobolev trace embedding ${W^{1,P}}(\Omega )\, \to \,L_V^p(\partial \Omega )$, where V is an indefinite weight. This embedding leads…”
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Eigenvalue homogenization problem with indefinite weights by Bonder, J. Fernández, Pinasco, J. P, Salort, A. M

“…In this work we study the homogenization problem for nonlinear elliptic equations involving $p-$Laplacian type operators with sign changing weights. We study…”
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A Lyapunov type Inequality for Indefinite Weights and Eigenvalue Homogenization by Bonder, J. Fernández, Pinasco, J. P, Salort, A. M

“…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…”
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A nonlinear eigenvalue problem with indefinite weights related to the Sobolev trace embedding by Fernández Bonder, J., Rossi, J. D.

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Asymptotic behaviour for a parabolic system with nonlinear boundary conditions by Fernández Bonder, J., Rossi, J. D.

“…In this paper we obtain the blow-up rate for positive solutions of a system of two heat equations, $u_t=\Delta u, v_t=\Delta v$, in a bounded smooth domain…”
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