On the extremal solutions of superlinear Helmholtz problems

DOI10.5269/BSPM.42087OpenAlexW4200533712MaRDI QIDQ6189462

Unnamed Author, Makkia Dammak, Saber Kharrati

Publication date: 8 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5269/bspm.42087

zbMATH Keywords

regularityextremal solutionstable minimal solutionsuper-nonlinearity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Gelfand type elliptic problems under Steklov boundary conditions
• Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
• Blow up for \(u_ t- \Delta u=g(u)\) revisited
• The study of a bifurcation problem associated to an asymptotically linear function
• Stochastic differential equations. An introduction with applications.
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