Infinitely many solutions for a class of nonlinear elliptic problems on fractals

DOI10.1016/j.crma.2012.01.027zbMath1255.35088OpenAlexW2037507655MaRDI QIDQ765752

Gabriele Bonanno, Giovanni Molica Bisci, Vicenţiu D. Rădulescu

Publication date: 22 March 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.01.027

zbMATH Keywords

Dirichlet problemweak solutioncritical pointSierpinski gasketweak Laplace operator

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Fractals (28A80) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

Sequences of Weak Solutions for Non-Local Elliptic Problems with Dirichlet Boundary Condition ⋮ Nonlinear problems on the Sierpiński gasket ⋮ Qualitative analysis of gradient-type systems with oscillatory nonlinearities on the Sierpiński gasket ⋮ Infinitely many solutions for a mixed doubly eigenvalue boundary value problem ⋮ A note on gradient-type systems on fractals ⋮ Boundary value problems on part of a level-\(n\) Sierpinski gasket ⋮ Unnamed Item ⋮ Multiple solutions of Dirichlet problems on the Sierpinski gasket

Cites Work

• On a spectral analysis for the Sierpiński gasket.
• Infinitely many solutions for a boundary value problem with discontinuous nonlinearities
• A general variational principle and some of its applications
• Nonlinear elliptical equations on the Sierpiński gasket
• INFINITELY MANY SOLUTIONS FOR THE DIRICHLET PROBLEM ON THE SIERPINSKI GASKET
• Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket
• Unnamed Item
• Unnamed Item

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