Existence result for hemivariational inequality involving p(x)-Laplacian
نویسندگان
چکیده
منابع مشابه
EXISTENCE THEOREMS FOR ELLIPTIC HEMIVARIATIONAL INEQUALITIES INVOLVING THE p-LAPLACIAN
Here, 2 ≤ p < ∞, j : Z × R → R is a function which is measurable in z ∈ Z and locally Lipschitz in x ∈ R and ∂ j(z,x) is the Clarke subdifferential of j(z, ·). If f : Z × R → R is a measurable function which is in general discontinuous in the x ∈ R variable, for almost all z ∈ Z, all M > 0, and all |x| ≤ M, we have | f (z,x)| ≤ aM(z) with aM ∈ L1(Z) and we set j(z,x) = ∫x 0 f (z, r)dr, then j(z...
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ژورنال
عنوان ژورنال: Opuscula Mathematica
سال: 2012
ISSN: 1232-9274
DOI: 10.7494/opmath.2012.32.3.439