COMPARISON AND OSCILLATION: THEORY OF LINEAR DIFFERENTIAL EQUATIONS
CONTENTS 1 MONOTONICITY METHODS FOR STATIONARY EQUATIONS 1 1 GENERALITIES ABOUT THE MAXIMUM PRINCIPLE 1 2 METHOD OF LOWER AND UPPER SOLUTIONS 1 3 AN ALTERNATIVE PROOF WITHOUT MONOTONE ITERATIONS 1 4 STABILITY OF SOLUTIONS 1 5 EXTREMAL SOLUTIONS 1 6 THE KRASNOSELSKI UNIQUENESS THEOREM 1 7 THE BREZIS-OSWALD THEOREM 1 8 APPLICATIONS TO SUBLINEAR ELLIPTIC EQUATIONS IN ANISOTROPIC MEDIA 1 9 BIBLIOGRAPHICAL NOTES 2 BIFURCATION PROBLEMS 2 1 INTRODUCTION 2 2 ABSTRACT THEOREMS 2 3 A BASIC BIFURCATION THEOREM 2 4 QUALITATIVE PROPERTIES OF THE MINIMAL SOLUTION NEAR THE BIFURCATION POINT 2 5 BIFURCATION FOR THE LOGISTIC EQUATION ON THE WHOLE SPACE 2 6 BIBLIOGRAPHICAL NOTES 3 NONSMOOTH MOUNTAIN PASS THEORY 3 1 BASIC PROPERTIES OF LOCALLY LIPSCHITZ FUNCTIONALS 3 2 EKELAND’S VARIATIONAL PRINCIPLE 3 3 NONSMOOTH MOUNTAIN PASS TYPE THEOREMS 3 4 APPLICATIONS OF THE MOUNTAIN PASS THEOREM 3 5 CRITICAL POINTS AND COERCIVENESS OF LOCALLY LIPSCHITZ FUNCTIONALS WITH THE STRONG PALAIS-SMALE PROPERTY 3 6 BIBLIOGRAPHICAL NOTES 4 NONSMOOTH LJUSTERNIK-SCHNIRELMANN THEORY 4 1 GENUS AND LJUSTERNIK-SCHNIRELMANN CATEGORY 4 2 A ?NITE DIMENSIONAL VERSION OF THE LJUSTERNIK-SCHNIRELMANN THEOREM 4 3 CRITICAL POINTS OF LOCALLY LIPSCHITZ Z-PERIODIC FUNCTIONALS 4 4 A NONLINEAR EIGENVALUE PROBLEM ARISING IN EARTHQUAKE INITIATION 4 5 BIBLIOGRAPHICAL NOTES 5 MULTIVALUED ELLIPTIC PROBLEMS 5 1 INTRODUCTION 5 2 A MULTIVALUED VERSION OF THE BREZIS-NIRENBERG PROBLEM 5 3 THE MULTIVALUED FORCED PENDULUM PROBLEM 5 4 MULTIVALUED LANDESMAN-LAZER PROBLEMS WITH RESONANCE 5 5 HARTMAN-STAMPACCHIA THEORY FOR HEMIVARIATIONAL INEQUALITIES 5 6 STANDING WAVES OF MULTIVALUED SCHR¨ODINGER EQUATIONS 5 7 BIBLIOGRAPHICAL NOTES