Embedding theorems and quasi-linear elliptic boundary value problems for unbounded domains
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- by Melvyn S. Berger and Martin Schechter PDF
- Trans. Amer. Math. Soc. 172 (1972), 261-278 Request permission
Abstract:
The Sobolev-Kondrachov embedding and compactness theorems are extended to cover general unbounded domains, by introducing appropriate weighted ${L_p}$ norms. These results are then applied to the Dirichlet problem for quasi-linear elliptic partial differential equations and isoperimetric variational problems defined on general unbounded domains in ${{\mathbf {R}}^N}$.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 172 (1972), 261-278
- MSC: Primary 46E35; Secondary 35J65, 35L60, 49F99
- DOI: https://doi.org/10.1090/S0002-9947-1972-0312241-X
- MathSciNet review: 0312241