The chapter is organized as follows. In Section 10.2, we present an abstract existence theorem based on Baire category theorem. In Section 10.3, we give several examples, notably one involving singular values and one concerning potential wells, where the abstract theorem applies.
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(2008). Implicit partial differential equations. In: Direct Methods in the Calculus of Variations. Applied Mathematical Sciences, vol 78. Springer, New York, NY. https://doi.org/10.1007/978-0-387-55249-1_10
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DOI: https://doi.org/10.1007/978-0-387-55249-1_10
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