We show that the classical Brezis–Nirenberg problem (Formula presented.) admits nodal solutions clustering around a point on the boundary of Ω as ε→0, for smooth bounded domains Ω⊂RN in dimensions N≥7.
Nodal cluster solutions for the Brezis–Nirenberg problem in dimensions N≥7
Vaira G.
2024-01-01
Abstract
We show that the classical Brezis–Nirenberg problem (Formula presented.) admits nodal solutions clustering around a point on the boundary of Ω as ε→0, for smooth bounded domains Ω⊂RN in dimensions N≥7.File in questo prodotto:
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