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Symmetry results for the $p(x)$-Laplacian equation
Quasi-linear elliptic equations p(x)-Laplacian operator symmetrization partial symmetry
2012/6/25
We consider the Dirichlet problem for the nonlinear $p(x)$-Laplacian equation. For axially symmetric domains we prove that, under suitable assumptions, there exist Mountain-pass solutions which exhibi...
Long-time dynamics of the parabolic $p$-Laplacian equation
p-Laplacian equation attractors Long-time dynamics
2012/2/29
In this paper, we study the long-time behaviour of solutions of Cauchy problem for the parabolic $p$-Laplacian equation with variable coefficients. Under mild conditions on the coefficient of the prin...