ON THE ROLE OF SPACE DIMENSION [xxx] IN THE SEMILINEAR BREZIS-NIRENBERG EIGENVALUE PROBLEM

DOI10.1524/anly.2000.20.4.395zbMath0970.35088OpenAlexW2022394589MaRDI QIDQ4761305

Gazzola, Filippo, Hans-Christoph Grunau

Publication date: 10 October 2001

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2000.20.4.395

zbMATH Keywords

eigenvalue problemnonresonant dimensions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30)

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A critical elliptic problem for polyharmonic operators ⋮ A complete scenario on nodal radial solutions to the Brezis Nirenberg problem in low dimensions ^* ⋮ Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem in low dimensions ⋮ Existence of solutions for singular critical growth semilinear elliptic equations

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