Variational Methods for Potential Operator Equations: With Applications to Nonlinear Elliptic Equations Book

1	Constrained minimization	1
2	Applications of Lusternik-Schnirelman theory	39
3	Nonhomogeneous potentials	74
4	Potentials with covariance condition	115
5	Eigenvalues and level sets	128
6	Generalizations of the mountain pass theorem	149
7	Nondifferentiable functionals	167
8	Concentration-compactness principle - subcritical case	198
9	Concentration-compactness principle - critical case	224
App. A.1	Sobolev spaces	253
App. A.2	Embedding theorems	254
App. A.3	Compact embeddings of spaces W[superscript 1,p](R[superscript n]) and D[superscript 1,p](R[superscript n])	255
App. A.4	Conditions of concentration and uniform decay at infinity	259
App. A.5	Compact embedding for H[actual symbol not reproducible](R[superscript n])	261
App. A.6	Schwarz symmetrization	264
App. A.7	Pointwise convergence	264
App. A.8	Gateaux derivatives	266
	Bibliography	270
	Glossary	287
	Index	289