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Sobolev Spaces and the Variational Formulation of Elliptic Boundary Value Problems in N Dimensions

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Abstract

Let \(\Omega \subset \mathbb{R}^N.\) be an open set and let \(P\in\mathbb{R}\) with \(1 \le p \le \infty .\)

Keywords

  • Weak Solution
  • Sobolev Space
  • Maximum Principle
  • Variational Formulation
  • Classical Solution

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  • DOI: 10.1007/978-0-387-70914-7_9
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Correspondence to Haim Brezis .

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© 2011 Springer Science+Business Media, LLC

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Brezis, H. (2011). Sobolev Spaces and the Variational Formulation of Elliptic Boundary Value Problems in N Dimensions. In: Functional Analysis, Sobolev Spaces and Partial Differential Equations. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-0-387-70914-7_9

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