On Uniqueness of Solutions to the Boundary Value Problems on the Sierpiński Gasket

DOI10.1080/01630563.2021.1931310zbMath1472.35199OpenAlexW3172866409MaRDI QIDQ5005300

Robert Stegliński

Publication date: 9 August 2021

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2021.1931310

zbMATH Keywords

Dirichlet problemSierpiński gasketsemilinear equation with Laplacianexistence of a unique solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractals (28A80) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Unnamed Item
• Multiple solutions of Dirichlet problems on the Sierpinski gasket
• On the existence of three solutions for the Dirichlet problem on the Sierpiński gasket
• Nonlinear elliptical equations on the Sierpiński gasket
• On the mountain pass solutions to boundary value problems on the Sierpinski gasket
• Multiple solutions for a class of nonlinear elliptic equations on the Sierpiński gasket
• Nonlinear problems on the Sierpiński gasket
• Existence results for nonlinear elliptic problems on fractal domains
• A Variational Approach to Lyapunov Type Inequalities
• INFINITELY MANY SOLUTIONS FOR THE DIRICHLET PROBLEM ON THE SIERPINSKI GASKET
• A harmonic calculus on the Sierpinski spaces
• Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket
• A characterization for elliptic problems on fractal sets
• On the Application of Monotonicity Methods to the Boundary Value Problems on the Sierpinski Gasket

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