Titlebook: Critical Point Theory; Sandwich and Linking Martin Schechter Book 2020 The Editor(s) (if applicable) and The Author(s), under exclusive lic

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Global Solutions,.?(.). to have a nonempty resolvent. To achieve this, we assumed that .?(.) was periodic in .. This forced us to assume the same for .(., .), and we had to deal with several restrictions in our methods. In this chapter we study the equation without making any periodicity assumptions on the potential

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Nonlinear Optics,on coefficient and the functions are periodic with respect to the variables . Here, . where .?(.) is a continuous, nonnegative function periodic in . Steady state solutions satisfy the following equation over a periodic domain . . where ., . are parameters. The solutions . are to be periodic in Ω wi

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https://doi.org/10.1007/978-3-030-45603-0Critical point theory; Critical point calculus; Critical point theory applications; Variational methods

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a .. functional(usually representing the energy) arising from the given data. As an illustration, the equation . is the Euler equation of the functional . on an appropriate space, where . and the norm is that of ... The solving of the Euler equations is tantamount to finding critical points of the

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