Limits of Nonlinear Dirichlet Problems in Varying Domains
نویسنده
چکیده
for suitable constants 0 < c 1 < c 2 < +o% 1 < p < n. For every ge Lq(f2), 1/p + 1/q = 1, we denote by mh(g) and Mh(g) respectively the minimum value and the set of all minimum points of problem (0.1). We shall prove the following compactness theorem (Section 6): for every sequence (Eh) of closed subsets of f2 there exist a subsequence (Ec(h)) and a non-negative Borel measure g, vanishing on every subset of f2 with p-capacity zero, such that
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