Order structure and topological methods in nonlinear partial differential equations - Info and Reading Options

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Preface -- 1. Krein-Rutman theorem and the principal eigenvalue -- 2. Maximum principles revisited. 2.1. Equivalent forms of the maximum principle. 2.2. Maximum principle in W[symbol]([symbol]) -- 3. The moving plane method. 3.1. Symmetry over bounded domains. 3.2. Symmetry over the entire space. 3.3. Positivity of nonnegative solutions -- 4. The method of upper and lower solutions. 4.1. Classical upper and lower solutions. 4.2. Weak upper and lower solutions -- 5. The logistic equation. 5.1. The classical case. 5.2. The degenerate logistic equation. 5.3. Perturbation and profile of solutions -- 6. Boundary blow-up problems. 6.1. The Keller-Osserman result and its generalizations. 6.2. Blow-up rate and uniqueness. 6.3. Logistic type equations with weights -- 7. Symmetry and Liouville type results over half and entire spaces. 7.1. Symmetry in a half space without strong maximum principle. 7.2. Uniqueness results of logistic type equations over R[symbol]. 7.3. Partial symmetry in the entire space. 7.4. Some Liouville type results

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