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Some applications of a perturbative method to elliptic equations with non-homogeneous boundary conditions

โœ Scribed by A.M. Candela; A. Salvatore

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
175 KB
Volume
53
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

Multiple solutions for some elliptic equ
Multiple solutions for some elliptic equations with non-homogeneous boundary conditions
โœ A. Salvatore ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 377 KB

In this paper we shall state the existence of infinitely many solutions of the nonlinear elliptic equation \(-\Delta u=a(x)|u|^{q-2} u+b(x)|u|^{p-2} u+f(x)\) with nonhomogeneous boundary conditions. A suitable perturbative method and variational tools will apply to such a non-symmetric problem.

A direct method to derive the boundary c
A direct method to derive the boundary conditions of the homogenization equation for symmetric cells
โœ Hassani, Behrooz ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 583 KB

The numerical solution of homogenization equations by the finite element (FE) method is explained briefly. The issue of extracting boundary conditions from the periodicity assumption is addressed and a direct method utilizing symmetry is presented. Using this method, the computation of the elements