Proves existence of solutions for Signorini-type problems in linearised viscoelasticity using a novel solution concept valid for initial contact, plus exponential decay to equilibrium.
Leoni.A first course in Sobolev spaces, volume 181 ofGraduate Studies in Mathematics
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Existence of solutions to -Pu = f/u^γ is shown for C^{1,1} domains with C^1 coefficients on P, and uniqueness in L^1 holds for C^2 domains with C^2 coefficients.
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Existence of solutions for time-dependent Signorini-type problems in linearised viscoelasticity
Proves existence of solutions for Signorini-type problems in linearised viscoelasticity using a novel solution concept valid for initial contact, plus exponential decay to equilibrium.
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Singular semilinear elliptic equations in nondivergence form
Existence of solutions to -Pu = f/u^γ is shown for C^{1,1} domains with C^1 coefficients on P, and uniqueness in L^1 holds for C^2 domains with C^2 coefficients.