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Reduced measures for obstacle problems
 Adv. Diff. Eq
"... Key words. Obstacle problems, variational inequalities, measure data ..."
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Cited by 9 (1 self)
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Key words. Obstacle problems, variational inequalities, measure data
The stability of solution of the obstacle problem
"... Abstract: In this paper we are discussing the stability problem of the standard obstacle problem. We show that the solution of the obstacle problem is stable under the boundary conditions. One can show this result for general obstacle problem. 1 ..."
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Abstract: In this paper we are discussing the stability problem of the standard obstacle problem. We show that the solution of the obstacle problem is stable under the boundary conditions. One can show this result for general obstacle problem. 1
APERIODIC FRACTIONAL OBSTACLE PROBLEMS
"... Abstract. We determine the asymptotic behaviour of (bilateral) obstacle problems for fractional energies in rather general aperiodic settings via Γconvergence arguments. As further developments we consider obstacles with random sizes and shapes located on points of standard lattices, and the case o ..."
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Cited by 3 (0 self)
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Abstract. We determine the asymptotic behaviour of (bilateral) obstacle problems for fractional energies in rather general aperiodic settings via Γconvergence arguments. As further developments we consider obstacles with random sizes and shapes located on points of standard lattices, and the case
OBSTACLE PROBLEMS WITH MEASURE DATA
, 2000
"... In this paper we study the continuous dependence with respect to obstacles for obstacle problems with measure data. This is deeply investigated introducing a suitable type of convergence, which gives stability under very general hypotheses. Moreover stability with respect to H 1 and uniform converge ..."
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In this paper we study the continuous dependence with respect to obstacles for obstacle problems with measure data. This is deeply investigated introducing a suitable type of convergence, which gives stability under very general hypotheses. Moreover stability with respect to H 1 and uniform
The Regularization Method for an Obstacle Problem
, 1994
"... . We give a relatively complete analysis for the regularization method, which is usually used in solving nondifferentiable minimization problems. The model problem considered in the paper is an obstacle problem. In addition to the usual convergence result and apriori error estimates, we provide a ..."
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Cited by 7 (3 self)
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. We give a relatively complete analysis for the regularization method, which is usually used in solving nondifferentiable minimization problems. The model problem considered in the paper is an obstacle problem. In addition to the usual convergence result and apriori error estimates, we provide a
An obstacle problem for a fractional . . .
, 2013
"... We will deal with a paper of Luis Silvestre [14] that is based on his Ph.D. Thesis. He worked on the following problem: For a given function ϕ and s ∈ (0, 1), he tried to find the solution u of the following obstacle problem: • u ≥ ϕ in R n • (−∆) s u ≥ 0 in R n • (−∆) s u(x) = 0 for x such that: u ..."
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We will deal with a paper of Luis Silvestre [14] that is based on his Ph.D. Thesis. He worked on the following problem: For a given function ϕ and s ∈ (0, 1), he tried to find the solution u of the following obstacle problem: • u ≥ ϕ in R n • (−∆) s u ≥ 0 in R n • (−∆) s u(x) = 0 for x such that
Obstacle problems and isotonicity
, 2006
"... For variational inequalities of an abstract obstacle type, a condition is given ensuring a comparison principle for the dependence of solutions on the obstacles. This is also then used to provide a continuity estimate. Key words: Obstacle problems, variational inequalities, comparison principle, ell ..."
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Cited by 1 (1 self)
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For variational inequalities of an abstract obstacle type, a condition is given ensuring a comparison principle for the dependence of solutions on the obstacles. This is also then used to provide a continuity estimate. Key words: Obstacle problems, variational inequalities, comparison principle
OF OBSTACLE PROBLEMS WITH MEASURE DATA
, 2000
"... We study some properties of the obstacle reactions associated with the solutions of unilateral obstacle problems with measure data. These results allow us to prove that, under very weak assumptions on the obstacles, the solutions do not depend on the components of the negative parts of the data whic ..."
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We study some properties of the obstacle reactions associated with the solutions of unilateral obstacle problems with measure data. These results allow us to prove that, under very weak assumptions on the obstacles, the solutions do not depend on the components of the negative parts of the data
Results 1  10
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6,717