Quasi-Monotonicity Formulas for Classical Obstacle Problems with Sobolev Coefficients and Applications
We establish Weiss’ and Monneau’s type quasi-monotonicity formulas for quadratic energies having matrix of coefficients in a Sobolev space with summability exponent larger than the space dimension and provide an application to the corresponding free boundary analysis for the related classical obstac...
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| Veröffentlicht in: | Journal of optimization theory and applications 2020, Vol.184 (1), p.125-138 |
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| container_title | Journal of optimization theory and applications |
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| creator | Focardi, Matteo Geraci, Francesco Spadaro, Emanuele |
| description | We establish Weiss’ and Monneau’s type quasi-monotonicity formulas for quadratic energies having matrix of coefficients in a Sobolev space with summability exponent larger than the space dimension and provide an application to the corresponding free boundary analysis for the related classical obstacle problems. |
| doi_str_mv | 10.1007/s10957-018-1398-y |
| format | Article |
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| issn | 0022-3239 1573-2878 |
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| subjects | Applications of Mathematics Calculus of Variations and Optimal Control Optimization Engineering Free boundaries Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Sobolev space Theory of Computation |
| title | Quasi-Monotonicity Formulas for Classical Obstacle Problems with Sobolev Coefficients and Applications |
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