Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms

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Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms. / Tersenov, Ar S.

In: Journal of Applied and Industrial Mathematics, Vol. 12, No. 4, 01.10.2018, p. 770-784.

Research output: Contribution to journal › Article › peer-review

Harvard

Tersenov, AS 2018, 'Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms', Journal of Applied and Industrial Mathematics, vol. 12, no. 4, pp. 770-784. https://doi.org/10.1134/S1990478918040178

APA

Tersenov, A. S. (2018). Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms. Journal of Applied and Industrial Mathematics, 12(4), 770-784. https://doi.org/10.1134/S1990478918040178

Vancouver

Tersenov AS. Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms. Journal of Applied and Industrial Mathematics. 2018 Oct 1;12(4):770-784. doi: 10.1134/S1990478918040178

Author

Tersenov, Ar S. / Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms. In: Journal of Applied and Industrial Mathematics. 2018 ; Vol. 12, No. 4. pp. 770-784.

BibTeX

@article{7b2054c4ddc4493b903c8db1cdd77adc,

title = "Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms",

abstract = "We consider the Dirichlet problem for the p-Laplace equation with nonlinear gradient terms. In particular, these gradient terms cannot satisfy the Bernstein—Nagumo conditions. We obtain some sufficient conditions that guarantee the existence of a global bounded radially symmetric solution without any restrictions on the growth of the gradient term. Also we present some conditions on the function simulating the mass forces, which allow us to obtain a bounded radially symmetric solution under presence of an arbitrary nonlinear source.",

keywords = "Dirichlet problem, gradient nonlinearity, p-Laplace equation, radially symmetric solution",

author = "Tersenov, {Ar S.}",

note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",

year = "2018",

month = oct,

day = "1",

doi = "10.1134/S1990478918040178",

language = "English",

volume = "12",

pages = "770--784",

journal = "Journal of Applied and Industrial Mathematics",

issn = "1990-4789",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "4",

}

RIS

TY - JOUR

T1 - Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms

AU - Tersenov, Ar S.

PY - 2018/10/1

Y1 - 2018/10/1

N2 - We consider the Dirichlet problem for the p-Laplace equation with nonlinear gradient terms. In particular, these gradient terms cannot satisfy the Bernstein—Nagumo conditions. We obtain some sufficient conditions that guarantee the existence of a global bounded radially symmetric solution without any restrictions on the growth of the gradient term. Also we present some conditions on the function simulating the mass forces, which allow us to obtain a bounded radially symmetric solution under presence of an arbitrary nonlinear source.

AB - We consider the Dirichlet problem for the p-Laplace equation with nonlinear gradient terms. In particular, these gradient terms cannot satisfy the Bernstein—Nagumo conditions. We obtain some sufficient conditions that guarantee the existence of a global bounded radially symmetric solution without any restrictions on the growth of the gradient term. Also we present some conditions on the function simulating the mass forces, which allow us to obtain a bounded radially symmetric solution under presence of an arbitrary nonlinear source.

KW - Dirichlet problem

KW - gradient nonlinearity

KW - p-Laplace equation

KW - radially symmetric solution

UR - http://www.scopus.com/inward/record.url?scp=85058125998&partnerID=8YFLogxK

U2 - 10.1134/S1990478918040178

DO - 10.1134/S1990478918040178

M3 - Article

AN - SCOPUS:85058125998

VL - 12

SP - 770

EP - 784

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 4

ER -

ID: 17830462