A characterization for elliptic problems on fractal sets

DOI10.1090/S0002-9939-2015-12475-6zbMath1315.35069OpenAlexW2051938040MaRDI QIDQ5246922

Giovanni Molica Bisci, Vicenţiu D. Rădulescu

Publication date: 22 April 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2015-12475-6

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 elliptic equations (35J60) Fractals (28A80) Variational methods for second-order elliptic equations (35J20)

Related Items (23)

Elliptic problems on complete non-compact Riemannian manifolds with asymptotically non-negative Ricci curvature ⋮ Nonlinear problems on the Sierpiński gasket ⋮ The Fučík spectrum for one dimensional Kreĭn-Feller operators ⋮ Existence of a weak solution for a class of nonlinear elliptic equations on the Sierpiński gasket ⋮ On the existence of solutions to a (p,q)‐Laplacian system on the Sierpiński gasket on ℝ^N−1 ⋮ Monotone operators and a class of nonlinear elliptic equations on the Sierpiński gasket ⋮ 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 ⋮ 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 system of p-Laplacian equations on the Sierpiński gasket ⋮ Existence results for some anisotropic Dirichlet problems ⋮ Periodic solutions for nonlocal fractional equations ⋮ A short note on harmonic functions and zero divisors on the Sierpinski fractal ⋮ Subelliptic and parametric equations on Carnot groups ⋮ Saddle-point solutions to Dirichlet problems on the Sierpiński gasket ⋮ BOUNDARY VALUE PROBLEM INVOLVING THE p-LAPLACIAN ON THE SIERPIŃSKI GASKET ⋮ A characterization related to Schrödinger equations on Riemannian manifolds ⋮ On Uniqueness of Solutions to the Boundary Value Problems on the Sierpiński Gasket ⋮ Unnamed Item ⋮ A sharp eigenvalue theorem for fractional elliptic equations

Cites Work

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• Solvability for differential equations on fractals
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• Some properties of Laplacians on fractals
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• Nonlinear elliptical equations on the Sierpiński gasket
• A note on spherical maxima sharing the same Lagrange multiplier
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• Sublinear Elliptic Equation on Fractal Domains
• INFINITELY MANY SOLUTIONS FOR THE DIRICHLET PROBLEM ON THE SIERPINSKI GASKET
• Harmonic Calculus on P.C.F. Self-Similar Sets
• Effective resistances for harmonic structures on p.c.f. self-similar sets
• A characterization related to a two-point boundary value problem

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