Minimization problems for noncoercive functionals subject to constraints

Vy, Khoi Le; Schmitt, Klaus

doi:10.1090/S0002-9947-1995-1316854-3

Minimization problems for noncoercive functionals subject to constraints
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Trans. Amer. Math. Soc. 347 (1995), 4485-4513 Request permission

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.

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