A non-existence result for low energy sign-changing solutions of the Brezis-Nirenberg problem in dimensions 4, 5 and 6

DOI10.1016/J.JDE.2017.08.020zbMath1458.35197OpenAlexW2748361495MaRDI QIDQ2407138

Yessine Dammak

Publication date: 28 September 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.08.020

zbMATH Keywords

Dirichlet problemsemilinear equation with Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (10)

An existence result for sign-changing solutions of the Brézis-Nirenberg problem ⋮ New multiplicity results for critical \(p\)-Laplacian problems ⋮ The Brézis-Nirenberg type problem for the \(p\)-Laplacian: infinitely many sign-changing solutions ⋮ Nonexistence of interior bubbling solutions for slightly supercritical elliptic problems ⋮ A nonexistence result for blowing up sign-changing solutions of the Brezis–Nirenberg-type problem ⋮ On the structure of the nodal set and asymptotics of least energy sign-changing radial solutions of the fractional Brezis-Nirenberg problem ⋮ New type of solutions to a slightly subcritical Hénon type problem in dimensions 7, 8 and 9 ⋮ Sign-changing tower of bubbles to an elliptic subcritical equation ⋮ Finite-dimensional reduction of a supercritical exponent equation ⋮ Nodal Solutions of the Brezis-Nirenberg Problem in Dimension 6

Cites Work

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