J 2019

Ground state solutions to nonlinear equations with p-Laplacian

DOŠLÁ, Zuzana and Serena MATUCCI

Basic 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
Name: Asymptotická teorie obyčejných diferenciálních rovnic celočíselných a neceločíselných řádů a jejich numerických diskretizací
Investor: Czech Science Foundation