On Kirchhoff Problems Involving Critical Exponent and Critical Growth - Journal of Applied Mathematics and Physics

JAMP > Vol.7 No.4, April 2019

On Kirchhoff Problems Involving Critical Exponent and Critical Growth ()

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Download as PDF (Size: 338KB) PP. 781-792

DOI: 10.4236/jamp.2019.74053 589 Downloads 1,244 Views

Author(s)

Mohammed El Mokhtar O. El Mokhtar, Zeid I. Almuhiameed

Affiliation(s)

Department of Mathematics, College of Science, Qassim University, Buraidah, Saudi Arabia.

ABSTRACT

In this paper, we establish the existence of multiple solutions to a class of Kirchhoff type equations involving critical exponent, concave term and critical growth. Our main tools are the Nehari manifold and mountain pass theorem.

KEYWORDS

Kirchhoff Equations, Critical Growth, Nehari Manifold, Mountain Pass Theorem

Share and Cite:

El Mokhtar O. El Mokhtar, M. and Almuhiameed, Z. (2019) On Kirchhoff Problems Involving Critical Exponent and Critical Growth. Journal of Applied Mathematics and Physics, 7, 781-792. doi: 10.4236/jamp.2019.74053.

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