arXiv subjects

Juan P. Pinasco

Publications and source records attributed to Juan P. Pinasco.

4 recordsLinked to original sources

arXiv2013

Lyapunov-type Inequalities for Partial Differential Equations

In this work we present a Lyapunov inequality for linear and quasilinear elliptic differential operators in $N-$dimensional domains $Ω$. We also consider singular and degenerate elliptic problems with $A_p$ coefficients involving the $p-$Laplace operator with zero Dirichlet boundary condition. As an application of the inequalities obtained, we derive lower bounds for the first eigenvalue of the $p-$Laplacian, and compare them with the usual ones in the literature.

math.AP↗

arXiv2012

Eigenvalue homogenization for quasilinear elliptic operators

In this work we study the homogenization problem for (nonlinear) eigenvalues of quasilinear elliptic operators. We prove convergence of the first and second eigenvalues and, in the case where the operator is independent of $\varepsilon$, convergence of the full (variational) spectrum together whit an explicit in $k$ and in $\varepsilon$ order of convergence.

math.AP↗

arXiv2012

Convergence rate for quasilinear eigenvalue homogenization

In this work we study the homogenization problem for nonlinear eigenvalues of quasilinear elliptic operators. We obtain an explicit order of convergence in $k$ and in $\varepsilon$ for the (variational) eigenvalues.

math.AP↗

arXiv2012

Eigenvalue homogenization for quasilinear elliptic equations with different boundary conditions

We study the rate of convergence for (variational) eigenvalues of several non-linear problems involving oscillating weights and subject to different kinds of boundary conditions in bounded domains.

math.AP↗