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Necessary conditions for variational regularization schemes
Variational regularization Tikhonov regularization necessary conditions general discrepancy term Bregman distances
2012/4/18
We study variational regularization methods in a general framework, more precisely those methods that use a discrepancy and a regularization functional. While several sets of sufficient conditions are...
Sufficient and necessary conditions for existence of positive solutions to p-Laplacian systems
p-Laplacian operator variational method sub and supersolutionfor the system
2010/9/10
In this work, we are concerned with the study of existence of positive solutions to some p-Laplacian systems on an unbounded domain, with non-linearities without a necessary variational character. Und...
The Minimax Equality; Sufficient and Necessary Conditions
Minimax equality Convexlike functions Affine-connectedness
2007/12/10
The paper produces new versions of the minimax theorem based on original conditions. Moreover, we investigate not only the sufficiency, but also the necessity of such conditions. The proofs are very s...