Bifurcation solutions of a free boundary problem modeling tumor growth with angiogenesis

DOI10.1016/j.jmaa.2018.08.022zbMath1402.35037OpenAlexW2885073235WikidataQ129364415 ScholiaQ129364415MaRDI QIDQ2414006

Yuehong Zhuang, Shang-bin Cui

Publication date: 17 September 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.08.022

zbMATH Keywords

existencetumor growthfree boundary problemRobin boundary conditionbifurcation solutionexistence of nonradial solutions

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)

Related Items (7)

Bifurcation analysis of a free boundary problem modeling multilayered tumor growth with time delay ⋮ Bifurcation analysis of a tumor-model free boundary problem with a nonlinear boundary condition ⋮ The existence and linear stability of periodic solution for a free boundary problem modeling tumor growth with a periodic supply of external nutrients ⋮ Stationary solutions of a free boundary problem modeling the growth of vascular tumors with a necrotic core ⋮ Bifurcation for a free-boundary tumor model with extracellular matrix and matrix degrading enzymes ⋮ The impact of time delay and angiogenesis in a tumor model ⋮ Bifurcation of a Mathematical Model for Tumor Growth with Angiogenesis and Gibbs–Thomson Relation

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