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Could anyone suggest a textbook, article, or lecture notes that covers elliptic PDE theory (existence, uniqueness, regularity) on all of $\mathbb{R}^d$, as opposed to the Dirichlet or Neumann problem on some bounded subset? I emphasize I am interested in a treatment that concerns the elliptic operators with variable coefficients that precludes a Fourier transform based solution. I found that Krylov's textbook (Lectures on Elliptic and Parabolic Equations in Sobolev Spaces) treats the problem, but I was curious if there were any others.

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The following book might be helpful:

Elliptic Partial Differential Equations: Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains by Vitaly Volpert (Birkhäuser, 2011)
http://books.google.com/books?isbn=3034605374

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