<div class="csl-bib-body">
<div class="csl-entry">Ricco, S., & Torricelli, A. (2024). A necessary condition for extremality of solutions to autonomous obstacle problems with general growth. <i>Nonlinear Analysis: Real World Applications</i>, <i>76</i>, Article 104005. https://doi.org/10.1016/j.nonrwa.2023.104005</div>
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dc.identifier.issn
1468-1218
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/188848
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dc.description.abstract
Let us consider an autonomous obstacle problem on a specific class of admissible functions, where we suppose the Lagrangian satisfies proper hypotheses of convexity and superlinearity at infinity. Our aim is to find a necessary condition for the extremality of the solution, which exists and it is unique, thanks to a primal–dual formulation of the problem. The proof is based on classical arguments of Convex Analysis and on Calculus of Variations’ techniques.
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dc.description.sponsorship
FWF Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
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dc.description.sponsorship
FWF Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
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dc.language.iso
en
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dc.publisher
PERGAMON-ELSEVIER SCIENCE LTD
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dc.relation.ispartof
Nonlinear Analysis: Real World Applications
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dc.subject
Obstacle problem
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dc.subject
Characterization of solutions
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dc.subject
Convex analysis
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dc.subject
Variational inequality
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dc.subject
General growth
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dc.title
A necessary condition for extremality of solutions to autonomous obstacle problems with general growth
