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• W3084045732 abstract "We proceed further with the study of minimum weak Riesz energy problems for condensers with touching plates, initiated jointly with Fuglede (Potential Anal 51:197–217, 2019). Having now added to the analysis constraint and external source of energy, we obtain a Gauss type problem, but with weak energy involved. We establish sufficient and/or necessary conditions for the existence of solutions to the problem and describe their potentials. Treating the solution as a function of the condenser and the constraint, we prove its continuity relative to the vague topology and the topologies determined by the weak and standard energy norms. We show that the criteria for the solvability thus obtained fail in general once the problem is reformulated in the setting of standard energy, thereby justifying an advantage of weak energy when dealing with condensers with touching plates." @default.
• W3084045732 created "2020-09-14" @default.
• W3084045732 creator A5049586143 @default.
• W3084045732 date "2020-09-08" @default.
• W3084045732 modified "2023-10-14" @default.
• W3084045732 title "A concept of weak Riesz energy with application to condensers with touching plates" @default.
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• W3084045732 doi "https://doi.org/10.1007/s13324-020-00384-1" @default.
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