Minimization Problems for Noncoercive Functionals Subject to Constraints
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.
V. K. Le and K. Schmitt, "Minimization Problems for Noncoercive Functionals Subject to Constraints," Transactions of the American Mathematical Society, American Mathematical Society, Jan 1995.
The definitive version is available at https://doi.org/10.1090/S0002-9947-1995-1316854-3
Mathematics and Statistics
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© 1995 American Mathematical Society, All rights reserved.