On Noncoercive Elliptic Problems with Discontinuities
نویسندگان
چکیده
منابع مشابه
On Noncoercive Elliptic Problems with Discontinuities
In this paper using the critical point theory of Chang [4] for locally Lipschitz functionals we prove an existence theorem for noncoercive Neumann problems with discontinuous nonlinearities. We use the mountain-pass theorem to obtain a nontrivial solution.
متن کاملNoncoercive convection-diffusion elliptic problems with Neumann boundary conditions
We study the existence and uniqueness of solutions of the convective-diffusive elliptic equation −div(D∇u) + div(V u) = f posed in a bounded domain Ω ⊂ RN , with pure Neumann boundary conditions D∇u · n = (V · n)u on ∂Ω. Under the assumption that V ∈ Lp(Ω)N with p = N if N ≥ 3 (resp. p > 2 if N = 2), we prove that the problem has a solution u ∈ H1(Ω) if ∫ Ω f dx = 0, and also that the kernel is...
متن کاملMultiple Solutions for Strongly Resonant Nonlinear Elliptic Problems with Discontinuities
We examine a nonlinear strongly resonant elliptic problem driven by the p-Laplacian and with a discontinuous nonlinearity. We assume that the discontinuity points are countable and at them the nonlinearity has an upward jump discontinuity. We show that the problem has at least two nontrivial solutions without using a multivalued interpretation of the problem as it is often the case in the liter...
متن کاملExistence of Solutions for Some Noncoercive Elliptic Problems Involving Derivatives of Nonlinear Terms
We study a nonlinear equation with an elliptic operator having degenerate coercivity. We prove the existence of a W 1,1 0 (Ω) solution which is distributional or entropic, according to the growth assumptions on a lower order term in divergence form. To Ildefonso: But of all these friends and lovers There is no one compares with you [9]
متن کاملFinite Volume Method for 2D Linear and Nonlinear Elliptic Problems with Discontinuities
In this paper we study the approximation of solutions to linear and nonlinear elliptic problems with discontinuous coefficients in the Discrete Duality Finite Volume framework. This family of schemes allows very general meshes and inherits the main properties of the continuous problem. In order to take into account the discontinuities and to prevent consistency defect in the scheme, we propose ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Analysis
سال: 2003
ISSN: 1425-6908,1869-6082
DOI: 10.1515/jaa.2003.211