The eigenvalue problem for the -Laplacian-like equations.

Chen, Zu-Chi; Luo, Tao

Displaying similar documents to “The eigenvalue problem for the $p$ -Laplacian-like equations.”

The first eigenvalue of $p$ -Laplacian systems with nonlinear boundary conditions.

Kandilakis, D.A., Magiropoulos, M., Zographopoulos, N.B. (2005)

Boundary Value Problems [electronic only]

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On the continuity of principal eigenvalues for boundary value problems with indefinite weight function with respect to radiusof balls in $ℝ^{N}$ .

Afrouzi, Ghasem Alizadeh (2002)

International Journal of Mathematics and Mathematical Sciences

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Degenerate elliptic equation involving a subcritical Sobolev exponent.

Chabrowski, J. (1996)

Portugaliae Mathematica

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Nontrivial solution for a nonlocal elliptic transmission problem in variable exponent Sobolev spaces.

Cekic, Bilal, Mashiyev, Rabil A. (2010)

Abstract and Applied Analysis

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Oscillations and concentrations in sequences of gradients

Martin Kružík, Agnieszka Kałamajska (2008)

ESAIM: Control, Optimisation and Calculus of Variations

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We use DiPerna’s and Majda’s generalization of Young measures to describe oscillations and concentrations in sequences of gradients, ${\nabla u_{k}}$ , bounded in $L^{p} (Ø; ℝ^{m \times n})$ if $p > 1$ and $Ω \subset ℝ^{n}$ is a bounded domain with the extension property in $W^{1, p}$ . Our main result is a characterization of those DiPerna-Majda measures which are generated by gradients of Sobolev maps satisfying the same fixed Dirichlet boundary condition. Cases where no boundary conditions nor regularity of $Ω$ are required and links with lower semicontinuity...