EXISTENCE AND REGULARITY OF MINIMIZERS OF NONCONVEX INTEGRALS WITH p− q GROWTH
نویسنده
چکیده
We show that local minimizers of functionals of the form Z Ω [f(Du(x)) + g(x , u(x))] dx, u ∈ u0 + W 1,p 0 (Ω), are locally Lipschitz continuous provided f is a convex function with p − q growth satisfying a condition of qualified convexity at infinity and g is Lipschitz continuous in u. As a consequence of this, we obtain an existence result for a related nonconvex functional.
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