@Article{publication146693,
title = "Bernstein-type theorem for ϕ-Laplacian",
abstract = "In this paper we obtain a solution to the second-order boundary value problem of the form \frac{d}{dt}\varPhi'(\dot{u})=f(t,u,\dot{u}), t\in [0,1], u\colon \mathbb {R}\to \mathbb {R} with Sturm–Liouville boundary conditions, where \varPhi\colon \mathbb {R}\to \mathbb {R} is a strictly convex, differentiable function and f\colon[0,1]\times \mathbb {R}\times \mathbb {R}\to \mathbb {R} is continuous and satisfies a suitable growth condition. Our result is based on a priori bounds for the solution and homotopical invariance of the Leray–Schauder degree.",
keywords = "A PRIORI BOUNDS BOUNDARY VALUE PROBLEM FIXED POINT LERAY–SCHAUDER DEGREE Φ -LAPLACIAN ",
year = "2019",
language = "angielski",
journal = "Fixed Point Theory and Applications",
country = "",
pages = "1 - 9",
author = "Jakub Maksymiuk Jakub Ciesielski Maciej Starostka ",
organization = "Katedra Analizy Nieliniowej i Statystyki ",
url = "http://dx.doi.org/10.1186/s13663-018-0651-2",
publisher = "Fixed Point Theory and Applications"
}