Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket

DOI10.1051/COCV/2011199zbMath1278.35088OpenAlexW1967893034MaRDI QIDQ4910991

Gabriele Bonanno, Giovanni Molica Bisci, Vicenţiu D. Rădulescu

Publication date: 13 March 2013

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2011199

zbMATH Keywords

nonlinear elliptic equationDirichlet formSierpiński gasketweak Laplacian

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Fractals (28A80) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (17)

Nonlinear problems on the Sierpiński gasket ⋮ Qualitative analysis of gradient-type systems with oscillatory nonlinearities on the Sierpiński gasket ⋮ On the existence of solutions to a (p,q)‐Laplacian system on the Sierpiński gasket on ℝ^N−1 ⋮ Existence of multiple solutions of a Kirchhoff type \(p\)-Laplacian equation on the Sierpiński gasket ⋮ On the Application of Monotonicity Methods to the Boundary Value Problems on the Sierpinski Gasket ⋮ Variational analysis for Dirichlet impulsive differential equations with oscillatory nonlinearity ⋮ Semilinear elliptic equation involving thep-Laplacian on the Sierpiński gasket ⋮ Boundary value problems on part of a level-\(n\) Sierpinski gasket ⋮ A class of semilinear elliptic equations on the Sierpinski gasket ⋮ On the mountain pass solutions to boundary value problems on the Sierpinski gasket ⋮ A short note on harmonic functions and zero divisors on the Sierpinski fractal ⋮ Saddle-point solutions to Dirichlet problems on the Sierpiński gasket ⋮ Infinitely many solutions for a class of nonlinear elliptic problems on fractals ⋮ On Uniqueness of Solutions to the Boundary Value Problems on the Sierpiński Gasket ⋮ Unnamed Item ⋮ Existence of weak solutions to a \(p\)-Laplacian system on the Sierpiński gasket on \({\mathbb{R}}^2\) ⋮ Multiple solutions of Dirichlet problems on the Sierpinski gasket

This page was built for publication: Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket