A system of p-Laplacian equations on the Sierpiński gasket

DOI10.1007/s00009-021-01716-6zbMath1467.35144arXiv1807.06881OpenAlexW3137399123MaRDI QIDQ2025842

Amit Priyadarshi, Abhilash Sahu

Publication date: 17 May 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.06881

zbMATH Keywords

existence of weak solutionsSierpiński gasketweak \(p\)-Laplacian

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractals (28A80) Boundary value problems for second-order elliptic systems (35J57)

Related Items

The Fučík spectrum for one dimensional Kreĭn-Feller operators, Existence of weak solutions to a \(p\)-Laplacian system on the Sierpiński gasket on \({\mathbb{R}}^2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Nehari manifold for indefinite semilinear elliptic systems involving critical exponent
• The Laplacian on p.c.f. self-similar sets via the method of averages
• The Laplacian on the Sierpinski gasket via the method of averages.
• Existence results for some nonlinear elliptic systems
• The Nehari manifold and application to a semilinear elliptic system
• A remark on the existence of multiple solutions to a multiparameter nonlinear elliptic system
• \(p\)-energy and \(p\)-harmonic functions on Sierpinski gasket type fractals
• On systems of elliptic equations involving subcritical or critical Sobolev exponents
• On some nonlinear elliptic systems
• Existence results to elliptic systems with nonstandard growth conditions
• Harmonization and homogenization on fractals
• Semilinear PDEs on self-similar fractals
• Existence results for some nonlinear elliptic system with lack of compactness
• Existence of multiple solutions for quasilinear systems via fibering method
• Nonlinear elliptical equations on the Sierpiński gasket
• Multiple positive solutions for semilinear elliptic systems with nonlinear boundary condition
• Existence of multiple positive solutions for a \(p\)-Laplacian system with sign-changing weight functions
• A semilinear elliptic system involving nonlinear boundary condition and sign-changing weight function
• The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions
• The Nehari manifold for systems of nonlinear elliptic equations
• Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions
• TWO NONTRIVIAL WEAK SOLUTIONS FOR THE DIRICHLET PROBLEM ON THE SIERPIŃSKI GASKET
• Positive splutions of semilinear elliptic systems
• Harmonic Calculus on P.C.F. Self-Similar Sets
• A harmonic calculus on the Sierpinski spaces
• Thep-Laplacian on the Sierpinski gasket
• BOUNDARY VALUE PROBLEM INVOLVING THE p-LAPLACIAN ON THE SIERPIŃSKI GASKET
• A characterization for elliptic problems on fractal sets
• Variational treatment of nonlinear equations on the Sierpiński gasket