Local Boundedness of Minimizers with Limit Growth Conditions
نویسندگان
چکیده
The energy-integral of the calculus of variations (1.1), (1.2) below has a limit behavior when q = np/(n − p), where p is the harmonic average of the exponents pi, i = 1, . . . , n. In fact, if q is larger than in the stated equality, counterexamples to the local boundedness and regularity of minimizers are known. In this paper we prove the local boundedness of minimizers (and also of quasi-minimizers) under this stated limit condition. Some other general and limit growth conditions are also considered.
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ورودعنوان ژورنال:
- J. Optimization Theory and Applications
دوره 166 شماره
صفحات -
تاریخ انتشار 2015