Nonlinear Analysis

¿List of ContributorsPrefacePeriodic Solutions of Semilinear Parabolic EquationsIntroduction 1 1. Definitions and Main Results 2. Preliminaries on Linear Evolution Equations 3. Semilinear Evolution Equations 4. Semilinear Parabolic Equations 5. Proof of the Main Results ReferencesLinear Maximal Monotone Operators and Singular Nonlinear Integral Equations of Hammerstein Type Introduction 1. Proof of the Main Theorem 2. Application to Hammerstein Equations ReferencesNonlinear Problems Across a Point of Resonance for Non-Self-Adjoint Systems 1. Introduction 2. Notations 3. Some Abstract Existence Theorems 4. A Study on in the Uniform Topology 5. Existence Theorems for the Scalar Case by Uniform Topology 6. Extensions to the Case of P and Q Orthogonal ReferencesBranching of Periodic Solutions of Nonautonomous Systems Introduction 1. Existence of Periodic Solutions 2. Stability of Periodic Solutions ReferencesRestricted Generic Bifurcation Introduction 1. Motivation and Statement of the Problems 2. Restricted Generic Bifurcation, p = 1 3. Restricted Generic Bifurcation, p = 2 ReferencesOn a Second-Order Nonlinear Elliptic Boundary Value Problem 1. Introduction and Statement of the Result 2. Proof of the Theorem ReferencesTikhonov Regularization and Nonlinear Problems at Resonance-Deterministic and Random 1. Introduction 2. Linear Case 3. Alternative Method 4. Perturbation Method 5. The Proximal Point Algorithm 6. Existence of Random Solutions 7. Tikhonov Regularization and Random Problems ReferencesThe Eigenvalue Problem for Variational Inequalities and a New Version of the Ljustemik-Schnirelmann Theory Introduction: Motivation 1. A Simple Example 2. General Theory. The Penalty Method and a New Version of the Ljustemik-Schnirelmann Theory 3. Special Case of a Halfspace 4. An Open Problem ReferencesNonlinear Boundary Value Problems for Ordinary Differential Equations: From Schauder Theorem to Stable Homotopy 1. Introduction 2. Formulation of the Problem 3. The Case Where L Has an Inverse 4. The Case of Linear Boundary Conditions Such That L Has No Inverse 5. The Case of Nonlinear Boundary Conditions Such That Ind L = 0 ReferencesSome Minimax Theorems and Applications to Nonlinear Partial Differential Equations Introduction 1. The Abstract Theorems 2. Applications to Elliptic Partial Differential Equations 3. An Application to a Hyperbolic Partial Differential Equation ReferencesBranching and Stability for Nonlinear Gradient Operators 1. Introduction 2. Preliminaries 3. The Branching Theorems for Equation (*) 4. The Stability Results ReferencesRecent Progress in Bifurcation Theory 1. Bifurcation Theory 2. Bifurcation at Multiple Eigenvalues 3. Bifurcation in the Presence of a Symmetry Group 4. Bifurcation of Doubly Periodic Solutions ReferencesOn the Subgradient of Convex Functionals 1. BBe¿eH¿e 2. OcHOBH¿ie ¿O¿¿T¿ ¿ Bc¿omraTe¿bHbie ¿pe¿¿öeH¿¿ 3. ¿OKa3aTe¿bCTBO TeopembI 4 ¿¿TepaTypaOn the Stability of Bifurcating Solutions 1. Introduction 2. The Steady-State Bifurcation ReferencesPublished Works of Erich H. Rothe