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Nonlinear Elliptic Equations Without Sign Condition and L 1 $L^{1}$ -Data in Musielak-Orlicz-Sobolev Spaces

Nonlinear Elliptic Equations Without Sign Condition and L 1 $L^{1}$ -Data in... In this research we give the existence of solutions to a elliptic problem containing two lower order terms, the first nonlinear term satisfying the growth conditions and without sign conditions and the second is a continuous function on ℝ. Not also that for right hand side, it is assumed that to be merely integrable. This results in formulation of the problem in Musielak-Orlicz-Sobolev spaces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Nonlinear Elliptic Equations Without Sign Condition and L 1 $L^{1}$ -Data in Musielak-Orlicz-Sobolev Spaces

Acta Applicandae Mathematicae , Volume 159 (1) – Apr 26, 2018

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References (33)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer Nature B.V.
Subject
Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-018-0186-x
Publisher site
See Article on Publisher Site

Abstract

In this research we give the existence of solutions to a elliptic problem containing two lower order terms, the first nonlinear term satisfying the growth conditions and without sign conditions and the second is a continuous function on ℝ. Not also that for right hand side, it is assumed that to be merely integrable. This results in formulation of the problem in Musielak-Orlicz-Sobolev spaces.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Apr 26, 2018

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