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@article{1642204,
author = {Došlá, Zuzana and Matucci, Serena},
article_location = {OXFORD},
article_number = {JUL 2019},
doi = {http://dx.doi.org/10.1016/j.na.2019.01.032},
keywords = {Second order nonlinear differential equation; Ground state solution; Boundary value problem on the half-line},
language = {eng},
issn = {0362-546X},
journal = {NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS},
title = {Ground state solutions to nonlinear equations with p-Laplacian},
url = {https://www.sciencedirect.com/science/article/pii/S0362546X19300410},
volume = {184},
year = {2019}
}
TY - JOUR
ID - 1642204
AU - Došlá, Zuzana - Matucci, Serena
PY - 2019
TI - Ground state solutions to nonlinear equations with p-Laplacian
JF - NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
VL - 184
IS - JUL 2019
SP - 1-16
EP - 1-16
PB - PERGAMON-ELSEVIER SCIENCE LTD
SN - 0362546X
KW - Second order nonlinear differential equation
KW - Ground state solution
KW - Boundary value problem on the half-line
UR - https://www.sciencedirect.com/science/article/pii/S0362546X19300410
L2 - https://www.sciencedirect.com/science/article/pii/S0362546X19300410
N2 - We investigate the existence of positive radial solutions for a nonlinear elliptic equation with p-Laplace operator and sign-changing weight, both in superlinear and sublinear case. We prove the existence of solutions u, which are globally defined and positive outside a ball of radius R, satisfy fixed initial conditions u(R) = c > 0, u' (R) = 0 and tend to zero at infinity. Our method is based on a fixed point result for boundary value problems on noncompact intervals and on asymptotic properties of suitable auxiliary half-linear differential equations. The results are new also for the classical Laplace operator and may be used for proving the existence of ground state solutions and decaying solutions with exactly k-zeros which are defined in the whole space. Some examples illustrate our results.
ER -
DOŠLÁ, Zuzana and Serena MATUCCI. Ground state solutions to nonlinear equations with p-Laplacian. \textit{NONLINEAR ANALYSIS-THEORY METHODS \&{}amp; APPLICATIONS}. OXFORD: PERGAMON-ELSEVIER SCIENCE LTD, 2019, vol.~184, JUL 2019, p.~1-16. ISSN~0362-546X. Available from: https://dx.doi.org/10.1016/j.na.2019.01.032.
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