On the number of stable positive solutions of weakly nonlinear elliptic equations when the diffusion is small

DOI10.12775/TMNA.2020.025zbMath1497.35213MaRDI QIDQ2156717

E. Norman Dancer

Publication date: 20 July 2022

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

stability of solutionsDirichlet conditionweakly nonlinear elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Semilinear elliptic equations (35J61)

Cites Work

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• Stable and finite Morse index solutions on 𝐑ⁿ or on bounded domains with small diffusion
• On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property

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