Some results for non-linear elliptic problems with mixed boundary conditions
β Scribed by Maria Michaela Porzio
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 525 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0373-3114
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π SIMILAR VOLUMES
The numerical solution of linear elliptic partial differential equations often involves finite element discretization, where the discretized system is usually solved by some conjugate gradient method. The crucial point in the solution of the obtained discretized system is a reliable preconditioning,
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.