Qualitative analysis of gradient-type systems with oscillatory nonlinearities on the Sierpiński gasket

DOI10.1007/s11401-013-0772-1zbMath1278.35068OpenAlexW2148393579MaRDI QIDQ354166

Gabriele Bonanno, Vicenţiu D. Rădulescu, Giovanni Molica Bisci

Publication date: 18 July 2013

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.719.8613

zbMATH Keywords

nonlinear elliptic equationDirichlet formSierpiński gasketweak Laplacian

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Variational methods involving nonlinear operators (47J30) Variational methods for elliptic systems (35J50) Fractals (28A80) Weak solutions to PDEs (35D30) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62) Boundary value problems for second-order elliptic systems (35J57)

Related Items (10)

On the Application of Monotonicity Methods to the Boundary Value Problems on the Sierpinski Gasket ⋮ A note on gradient-type systems on fractals ⋮ Infinitely many solutions for resonance elliptic systems ⋮ 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 ⋮ Maximal existence domains of positive solutions for two-parametric systems of elliptic equations ⋮ Unnamed Item ⋮ Critical point approaches to Gradient-Type systems on the Sierpiński Gasket ⋮ Existence results of infinitely many weak solutions of a singular subelliptic system on the Heisenberg group

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