2019
Ground state solutions to nonlinear equations with p-Laplacian
DOŠLÁ, Zuzana and Serena MATUCCIBasic information
Original name
Ground state solutions to nonlinear equations with p-Laplacian
Authors
DOŠLÁ, Zuzana (203 Czech Republic, guarantor, belonging to the institution) and Serena MATUCCI (380 Italy)
Edition
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, OXFORD, PERGAMON-ELSEVIER SCIENCE LTD, 2019, 0362-546X
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
United Kingdom of Great Britain and Northern Ireland
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 1.587
RIV identification code
RIV/00216224:14310/19:00108242
Organization unit
Faculty of Science
UT WoS
000465552500001
EID Scopus
2-s2.0-85061558406
Keywords in English
Second order nonlinear differential equation; Ground state solution; Boundary value problem on the half-line
Tags
Tags
International impact, Reviewed
Changed: 2/4/2020 15:12, Mgr. Marie Novosadová Šípková, DiS.
Abstract
In the original language
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.
Links
GA17-03224S, research and development project |
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