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The behavior of the Laplacian on weighted Sobolev spaces. (English) Zbl 0426.35029


MSC:

35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
47A53 (Semi-) Fredholm operators; index theories
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[1] , and , Partial Differential Equations, Wiley, New York, 1964.
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[5] Nirenberg, J. Math. Anal. Appl. 42 pp 271– (1973)
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[8] Basic Linear Partial Differential Equations, Academic Press, New York, 1975. · Zbl 0305.35001
[9] Stein, J. Math. Mech. 7 pp 503– (1958)
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