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On an elliptic boundary problem governed by a Laplacian operator perturbed by a spectral parameter and affected by a weight function in a plane polygon
Spectral prameter Polygon
2010/9/21
In this work, we study the problem governed by the laplacian operator perturbed by a spectral parameter and affected by a weight function in a polygon. First, the study will be done in a plane sector....
The existence of countably many positive solutions for a system of second order four-point boundary value problems with p-Laplacian operator
Positive solution Fixed point p-Laplacian
2010/9/14
The existence of countably many positive solutions for a system of second order four-point boundary value problems with p-Laplacian operator
The First Eigenvalue for the $p$-Laplacian Operator
$p$-Laplacian Nonlinear eigenvalue problems Shape optimization
2008/6/26
The First Eigenvalue for the $p$-Laplacian Operator.
By using the perturbation theories on sums of ranges ofnonlinear accretive mappings of Calvert and Gupta, we study theabstract results on the existence of a solution $u \inL^{s}({\it\Omega})$ of nonli...