Regularity for obstacle problems without structure conditions
نویسندگان
چکیده
منابع مشابه
Regularity Results for a Class of Obstacle Problems under Non Standard Growth Conditions
We prove regularity results for minimizers of functionals F(u, Ω) := Ω f(x, u, Du) dx in the class K := {u ∈ W 1,p(x)(Ω,R) : u ≥ ψ}, where ψ : Ω → R is a fixed function and f is quasiconvex and fulfills a growth condition of the type L−1|z|p(x) ≤ f(x, ξ, z) ≤ L(1 + |z|p(x)), with growth exponent p : Ω → (1,∞).
متن کاملRegularity of Solutions of Obstacle Problems for Elliptic Equations with Oblique Boundary Conditions
Much has been written about various obstacle problems in the context of variational inequalities. In particular, if the obstacle is smooth enough and if the coefficients of associated elliptic operator satisfy appropriate conditions, then the solution of the obstacle problem has continuous first derivatives. For a general class of obstacle problems, we show here that this regularity is attained...
متن کاملRegularity for obstacle problems in infinite dimensional Hilbert spaces
In this paper we study fully nonlinear obstacle type problems in Hilbert spaces. We introduce the notion of Q-elliptic equation and prove existence, uniqueness, and regularity of viscosity solutions of Q-elliptic obstacle problems. In particular we show that solutions of concave problems with semiconvex obstacles are in the space W 2,∞ Q .
متن کاملRegularity results for a class of obstacle problems
We prove some optimal regularity results for minimizers of the integral functional ∫ f(x, u,Du)dx belonging to the class K := {u ∈ W (Ω) : u ≥ ψ}, where ψ is a fixed function, under standard growth conditions of p-type, i.e. L−1|z|p ≤ f(x, s, z) ≤ L(1 + |z|).
متن کاملRegularity for shearable nonlinearly elastic rods in obstacle problems
In this paper we are interested in regularity results to obstacle problems for shearable nonlinearly elastic rods. We work with the geometrically exact Cosserat theory for planar deformations which describes rods that can suffer not only flexure but also extension and shear and it involves general nonlinear constitutive relations. This is a consistent intrinsically one-dimensional theory which,...
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: Nonlinear Analysis: Real World Applications
سال: 2021
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2021.103353