Some stability properties for minimal solutions of \(-\Delta u=\lambda g(u)\).

zbMath1173.35489MaRDI QIDQ1871548

Thierry Cazenave, Maria Assunta Pozio, Miguel Escobedo

Publication date: 22 September 2003

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55977

zbMATH Keywords

stabilityfirst eigenvaluenonlinear elliptic problemsbranch of minimal solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (5)

Unnamed Item ⋮ Regularity and symmetry for semilinear elliptic equations in bounded domains ⋮ A finding of the maximal saddle-node bifurcation for systems of differential equations ⋮ Topological instabilities in families of semilinear parabolic problems subject to nonlinear perturbations ⋮ Analytic global bifurcation and infinite turning points for very singular problems

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