Minimization Problems for Noncoercive Functionals Subject to Constraints

Vy Khoi Le; Klaus Schmitt

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

Minimization Problems for Noncoercive Functionals Subject to Constraints

Vy Khoi Le
, Klaus Schmitt

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Transactions of the American Mathematical Society
DOIs	https://doi.org/10.1090/S0002-9947-1995-1316854-3
State	Published - Jan 1 1995

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Mathematics
Statistics and Probability

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https://doi.org/10.1090/S0002-9947-1995-1316854-3

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title = "Minimization Problems for Noncoercive Functionals Subject to Constraints",

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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AB - 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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SN - 1088-6850

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

ER -

Minimization Problems for Noncoercive Functionals Subject to Constraints

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