A quasi-linear nonlocal Venttsel' problem of Ambrosetti–Prodi type on fractal domains

Maria Rosaria Lancia;  ; Alejandro Vélez-Santiago; Paola Vernole;

doi:10.3934/dcds.2019184

A quasi-linear nonlocal Venttsel' problem of Ambrosetti–Prodi type on fractal domains

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2019184 ◽

2019 ◽

Vol 39 (8) ◽

pp. 4487-4518 ◽

Cited By ~ 1

Author(s):

Maria Rosaria Lancia ◽

◽

Alejandro Vélez-Santiago ◽

Paola Vernole ◽

Keyword(s):

Venttsel Problem ◽

Fractal Domains

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Solving the venttsel problem for the laplace and helmholtz equations with the help of iterated potentials

Journal of Mathematical Sciences ◽

10.1007/bf02673857 ◽

2000 ◽

Vol 102 (4) ◽

pp. 4265-4274 ◽

Cited By ~ 3

Author(s):

V. V. Lukyanov ◽

A. I. Nazarov

Keyword(s):

Helmholtz Equations ◽

Venttsel Problem

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Multifractional Random Systems on Fractal Domains

Understanding Complex Systems - Modern Mathematical Tools and Techniques in Capturing Complexity ◽

10.1007/978-3-642-20853-9_25 ◽

2011 ◽

pp. 357-378

Author(s):

José Miguel Angulo ◽

María Dolores Ruiz-Medina

Keyword(s):

Random Systems ◽

Fractal Domains

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∞-Laplacian Obstacle Problems in Fractal Domains

Fractals in Engineering: Theoretical Aspects and Numerical Approximations - SEMA SIMAI Springer Series ◽

10.1007/978-3-030-61803-2_3 ◽

2020 ◽

pp. 55-77

Author(s):

Salvatore Fragapane

Keyword(s):

Obstacle Problems ◽

Fractal Domains

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Sublinear Elliptic Equation on Fractal Domains

Journal of Partial Differential Equations ◽

10.4208/jpde.v24.n2.1 ◽

2011 ◽

Vol 24 (2) ◽

pp. 97-113 ◽

Cited By ~ 2

Author(s):

He Zhenya

Keyword(s):

Elliptic Equation ◽

Fractal Domains

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𝑟th order conditionally convergent series of fractal domains

Geometry and Nature - Contemporary Mathematics ◽

10.1090/conm/203/02566 ◽

1997 ◽

pp. 257-267

Author(s):

Jenny Harrison

Keyword(s):

Convergent Series ◽

Conditionally Convergent Series ◽

Fractal Domains

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Estimates for solutions to the model Venttsel problem in Campanato spaces

Journal of Mathematical Sciences ◽

10.1007/s10958-013-1309-6 ◽

2013 ◽

Vol 191 (2) ◽

pp. 150-161 ◽

Cited By ~ 4

Author(s):

A. A. Arkhipova ◽

A. A. Lukina

Keyword(s):

Venttsel Problem

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The nonstationary venttsel' problem with quadratic growth with respect to the gradient

Journal of Mathematical Sciences ◽

10.1007/bf02362382 ◽

1996 ◽

Vol 80 (6) ◽

pp. 2197-2207 ◽

Cited By ~ 2

Author(s):

D. E. Apushkinskaya ◽

A. I. Nazarov

Keyword(s):

Quadratic Growth ◽

Venttsel Problem

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On the Nonstationary Two-Phase Venttsel Problem in the Transversal Case

Journal of Mathematical Sciences ◽

10.1023/b:joth.0000031019.56619.4d ◽

2004 ◽

Vol 122 (3) ◽

pp. 3251-3264 ◽

Cited By ~ 3

Author(s):

A.I. Nazarov

Keyword(s):

Two Phase ◽

Venttsel Problem

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Partial Regularity of Weak Solutions to the Model Venttsel Problem for Quasilinear Elliptic Systems of Equations. Method of A-Harmonic Approximation

Journal of Mathematical Sciences ◽

10.1007/s10958-014-1817-z ◽

2014 ◽

Vol 198 (6) ◽

pp. 655-676 ◽

Cited By ~ 2

Author(s):

A. A. Arkhipova

Keyword(s):

Weak Solutions ◽

Partial Regularity ◽

Harmonic Approximation ◽

Elliptic Systems ◽

Systems Of Equations ◽

Quasilinear Elliptic Systems ◽

Regularity Of Weak Solutions ◽

Venttsel Problem ◽

Quasilinear Elliptic

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Regularity of Weak Solutions to the Model Venttsel Problem for Linear Divergence Elliptic Operators in Campanato Spaces

Journal of Mathematical Sciences ◽

10.1007/s10958-013-1608-y ◽

2013 ◽

Vol 195 (5) ◽

pp. 609-621 ◽

Cited By ~ 3

Author(s):

A. A. Arkhipova ◽

A. A. Lukina

Keyword(s):

Weak Solutions ◽

Elliptic Operators ◽

Regularity Of Weak Solutions ◽

Venttsel Problem

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