The Minimal Number of Critical Points of a Function on a Compact Manifold and the Lusternik-Schnirelman Category.
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We investigate the solvability of a singular equation of Caffarelli-Kohn-Nirenberg type having a critical-like nonlinearity with a sign-changing weight function. We shall examine how the properties of the Nehari manifold and the fibering maps affect the question of existence of positive solutions.
И. Марцинкевич, А. Зигмунд ([unknown])
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