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Lars Diening, Bianca Stroffolini, Anna Verde (2011)
ESAIM: Control, Optimisation and Calculus of Variations
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We establish a local Lipschitz regularity result for local minimizers of asymptotically convex variational integrals.
E. Acerbi, N. Fusco (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Antonino Maugeri, Laura Scrimali (2009)
Bollettino dell'Unione Matematica Italiana
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The question of Lipschitz continuity of solutions to parameterized variational inequalities with perturbed constraint sets is considered. Under the sole Lipschitz continuity assumption on data, a Lipschitz continuity result is proved which, in particular, holds for variational inequalities modeling evolutionary network equilibrium problems. Moreover, in view of real-life applications, a long-term memory is introduced and the corresponding variational inequality model is discussed. ...
Mariano Giauquinta (1987)
Manuscripta mathematica
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Irene Fonseca, Nicola Fusco (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Cristina Mosna (2000)
Rendiconti del Seminario Matematico della Università di Padova
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Xia Zhang, Yan Huo, Yongqiang Fu (2014)
Annales Polonici Mathematici
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Based on the theory of variable exponent spaces, we study the regularity of local minimizers for a class of functionals with variable growth and discontinuous coefficients. Under suitable assumptions, we obtain local Hölder continuity of minimizers.