Multiple solutions of Dirichlet problems on the Sierpinski gasket

DOI10.1007/s10957-013-0368-7zbMath1345.49020OpenAlexW2023052541MaRDI QIDQ261985

Brigitte E. Breckner, Csaba Varga

Publication date: 29 March 2016

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-013-0368-7

zbMATH Keywords

Dirichlet problemweak solutionsvariational methodscritical pointsSierpinski gasketweak Laplacian

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Fractals (28A80) Existence theories in calculus of variations and optimal control (49J99)

Related Items

An existence result for impulsive multi-point boundary value systems using a local minimization principle ⋮ Nonlinear problems on the Sierpiński gasket ⋮ Existence of a weak solution for a class of nonlinear elliptic equations on the Sierpiński gasket ⋮ Monotone operators and a class of nonlinear elliptic equations on the Sierpiński gasket ⋮ MEAN VALUE PROPERTY OF HARMONIC FUNCTION ON THE HIGHER-DIMENSIONAL SIERPINSKI GASKET ⋮ A class of semilinear elliptic equations on the Sierpinski gasket ⋮ On Uniqueness of Solutions to the Boundary Value Problems on the Sierpiński Gasket

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