Title: On partially free boundary solutions for elliptic problems with non-lipschitz nonlinearities
Authors: Bobkov, Vladimír
Drábek, Pavel
Ilyasov, Yavdat
Citation: BOBKOV, V., DRÁBEK, P., ILYASOV, Y. On partially free boundary solutions for elliptic problems with non-lipschitz nonlinearities. In: Applied mathematics letters, 2019, roč. 95, č. September 2019, s. 23-28. ISSN 0893-9659.
Issue Date: 2019
Publisher: Elsevier
Document type: článek
URI: 2-s2.0-85063322963
ISSN: 0893-9659
Keywords in different language: non-Lipschitz nonlinearity;compactons;compact support solutions;free boundary solutions
Abstract in different language: We show that the elliptic equation with non-Lipschitz right-hand side, considered on a smooth star-shaped domain Ω subject to zero Dirichlet boundary conditions, might possess a nonnegative ground state solution which violates Hopf’s maximum principle only on a nonempty subset Γ of the boundary 𝜕Ω such that Γ ̸= 𝜕Ω.
Rights: Plný text není přístupný.
© Elsevier
Appears in Collections:Články / Articles (KMA)
Články / Articles (NTIS)

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