Preface p. xi 1 Defining stability p. 1 1.1 Stability and the variations of energy p. 1 1.1.1 Potential wells p. 1 1.1.2 Examples of stable solutions p. 5 1.2 Linearized stability p. 9 1.2.1 Principal eigenvalue of the linearized operator p. 9 1.2.2 New examples of stable soluti…
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Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, including mathematical physics (combustion, phase transition theory) and geometry (minimal surfaces). Stable Solutions of…