Ground state solutions to nonlinear equations with p-Laplacian

J 2019

Ground state solutions to nonlinear equations with p-Laplacian

DOŠLÁ, Zuzana a Serena MATUCCI

Základní údaje

Originální název

Ground state solutions to nonlinear equations with p-Laplacian

Autoři

DOŠLÁ, Zuzana a Serena MATUCCI

Vydání

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, OXFORD, PERGAMON-ELSEVIER SCIENCE LTD, 2019, 0362-546X

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Velká Británie a Severní Irsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 1.587

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/19:00108242

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

Second order nonlinear differential equation; Ground state solution; Boundary value problem on the half-line

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 2. 4. 2020 15:12, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

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.

Návaznosti

GA17-03224S, projekt VaV

Název: Asymptotická teorie obyčejných diferenciálních rovnic celočíselných a neceločíselných řádů a jejich numerických diskretizací

Investor: Grantová agentura ČR, Asymptotická teorie obyčejných diferenciálních rovnic celočíselných a neceločíselných řádů a jejich numerických diskretizací

Citovat

DOŠLÁ, Zuzana a Serena MATUCCI. Ground state solutions to nonlinear equations with p-Laplacian. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. OXFORD: PERGAMON-ELSEVIER SCIENCE LTD, 2019, roč. 184, JUL 2019, s. 1-16. ISSN 0362-546X. Dostupné z: https://doi.org/10.1016/j.na.2019.01.032.

@article{1642204,
   author = {Došlá, Zuzana and Matucci, Serena},
   article_location = {OXFORD},
   article_number = {JUL 2019},
   doi = {https://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 a Serena MATUCCI. Ground state solutions to nonlinear equations with p-Laplacian. \textit{NONLINEAR ANALYSIS-THEORY METHODS \&{}amp; APPLICATIONS}. OXFORD: PERGAMON-ELSEVIER SCIENCE LTD, 2019, roč.~184, JUL 2019, s.~1-16. ISSN~0362-546X. Dostupné z: https://doi.org/10.1016/j.na.2019.01.032.

Přehled o publikaci