On Neumann “superlinear” elliptic problems
نویسنده
چکیده
In this paper we are going to show the existence of a nontrivial solution to the following model problem,
منابع مشابه
An Orlicz-sobolev Space Setting for Quasilinear Elliptic Problems
In this paper we give two existence theorems for a class of elliptic problems in an Orlicz-Sobolev space setting concerning both the sublinear and the superlinear case with Neumann boundary conditions. We use the classical critical point theory with the Cerami (PS)-condition.
متن کاملMultiplicity of Solutions to Fourth-order Superlinear Elliptic Problems under Navier Conditions
We establish the existence and multiplicity of solutions for a class of fourth-order superlinear elliptic problems under Navier conditions on the boundary. Here we do not use the Ambrosetti-Rabinowitz condition; instead we assume that the nonlinear term is a nonlinear function which is nonquadratic at infinity.
متن کاملMesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators
The subject of the paper is the mesh independent convergence of the preconditioned conjugate gradient method for nonsymmetric elliptic problems. The approach of equivalent operators is involved, in which one uses the discretization of another suitable elliptic operator as preconditioning matrix. By introducing the notion of compact-equivalent operators, it is proved that for a wide class of ell...
متن کاملSuperlinearly convergent PCG algorithms for some nonsymmetric elliptic systems
The conjugate gradient method is a widespread way of solving nonsymmetric linear algebraic systems, in particular for large systems arising from discretized elliptic problems. A celebrated property of the CGM is superlinear convergence, see the book [2] where a comprehensive summary is given on the convergence of the CGM. For discretized elliptic problems, the CGM is mostly used with suitable p...
متن کاملSuperlinear PCG algorithms: symmetric part preconditioning and boundary conditions
The superlinear convergence of the preconditioned CGM is studied for nonsymmetric elliptic problems (convection-diffusion equations) with mixed boundary conditions. A mesh independent rate of superlinear convergence is given when symmetric part preconditioning is applied to the FEM discretizations of the BVP. This is the extension of a similar result of the author for Dirichlet problems. The di...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008