We show that the classical Brezis-Nirenberg problem-Delta u = u vertical bar u vertical bar + lambda u in Omega,u = 0 on partial derivative Omega,when Omega is a bounded domain in R-6 has a sign-changing solution which blows-up at a point in Omega as lambda approaches a suitable value lambda(0) > 0.
Nodal Solutions of the Brezis-Nirenberg Problem in Dimension 6
Vaira, G
2022-01-01
Abstract
We show that the classical Brezis-Nirenberg problem-Delta u = u vertical bar u vertical bar + lambda u in Omega,u = 0 on partial derivative Omega,when Omega is a bounded domain in R-6 has a sign-changing solution which blows-up at a point in Omega as lambda approaches a suitable value lambda(0) > 0.File in questo prodotto:
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