On the multiplicity of solutions for a kind of fourth-order equation depending on two real parameters-Reference-Cited by-同舟云学术

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On the multiplicity of solutions for a kind of fourth-order equation depending on two real parameters

Published:2021-10-26 Issue:1 Volume:2021 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Hadjian Armin^ORCID,Ramezani Maryam

Abstract

AbstractIn this paper, by suitable assumptions on nonlinear boundary term, we establish the existence of three distinct weak solutions for a kind of fourth-order boundary value problem depending on two parameters.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13660-021-02709-5.pdf

Reference21 articles.

1. Baraket, S., Rădulescu, V.: Combined effects of concave-convex nonlinearities in a fourth-order problem with variable exponent. Adv. Nonlinear Stud. 16, 409–419 (2016)

2. Bonanno, G.: Relations between the mountain pass theorem and local minima. Adv. Nonlinear Anal. 1, 205–220 (2012)

3. Bonanno, G., Candito, P.: Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities. J. Differ. Equ. 244, 3031–3059 (2008)

4. Bonanno, G., Chinnì, A., Tersian, S.: Existence results for a two point boundary value problem involving a fourth-order equation. Electron. J. Qual. Theory Differ. Equ. 2015, 33, 1–9 (2015)

5. Bonanno, G., Di Bella, B.: A boundary value problem for fourth-order elastic beam equations. J. Math. Anal. Appl. 343, 1166–1176 (2008)

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