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Boundary value problems for elliptic differential-difference equations have some astonishing properties. For example, unlike elliptic differential equations, th
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This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems
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The theory of elliptic boundary problems is fundamental in analysis and the role of spaces of weakly differentiable functions (also called Sobolev spaces) is es