Minimization problems for noncoercive functionals subject to constraints
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- by Khoi Le Vy and Klaus Schmitt
- Trans. Amer. Math. Soc. 347 (1995), 4485-4513
- DOI: https://doi.org/10.1090/S0002-9947-1995-1316854-3
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Abstract:
We consider noncoercive functionals on a reflexive Banach space and establish minimization theorems for such functionals on smooth constraint manifolds. These results in turn yield critical point theorems for certain classes of homogeneous functionals. Several applications to the study of boundary value problems for quasilinear elliptic equations are included.References
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Bibliographic Information
- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 347 (1995), 4485-4513
- MSC: Primary 49J10; Secondary 35J60, 47H99, 58E05
- DOI: https://doi.org/10.1090/S0002-9947-1995-1316854-3
- MathSciNet review: 1316854