Existence of L2 solutions holds for a nonlinear electrostatic Maxwell problem with nonlocal dielectricity under a size condition on F, for weak Lipschitz domains, without monotonicity or derivative assumptions on the nonlinearity.
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H-convergence of multiplication operators implies nonlocal H-convergence for arbitrary dimensions and more general differential operators without extra structural assumptions.
Extends semigroup methods and measurable selection results to prove global existence for partially nonautonomous evolution inclusion systems under Hausdorff continuity and convexity conditions on couplings.
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Existence of L2 solutions holds for a nonlinear electrostatic Maxwell problem with nonlocal dielectricity under a size condition on F, for weak Lipschitz domains, without monotonicity or derivative assumptions on the nonlinearity.
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