Bifurcation analysis of a tumor-model free boundary problem with a nonlinear boundary condition

DOI10.3934/dcdsb.2020103zbMath1452.35025OpenAlexW3014683938MaRDI QIDQ2211529

Jiayue Zheng, Shang-bin Cui

Publication date: 11 November 2020

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020103

zbMATH Keywords

Crandall-Rabinowitz theoremgrowth of nonnecrotic tumorsnonradial stationary solutions

Mathematics Subject Classification ID

Applications of functional analysis in biology and other sciences (46N60) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Boundary value problems for second-order elliptic systems (35J57)

Related Items (2)

Linear stability analysis for the free boundary problem modeling tumor growth with angiogenesis in the presence of inhibitors ⋮ A parabolic-hyperbolic system modeling the tumor growth with angiogenesis

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