Concentrating solutions for fractional problems involving critical or almost critical exponents were considered in [14].
One of the critical design problems involved in deep tunnelling in brittle rock with continuous excavation techniques, such as those utilizing tunnel boring machines or raise-bore equipment, is the creation of surface spall damage and breakouts.
Furthermore,when collecting data from critical situations, there are problems involving safety, cost, and test subjectexpectancy.
There were many papers about the existence of the solution of p-Laplacian problems involving critical growth such as [1 6].
Much interest has grown on problems involving critical exponents, starting from the celebrated paper by Brezis and Nirenberg [1].
Much interest has arisen in problems involving critical exponents, starting from the celebrated paper by Brezis and Nirenberg [1].
In this paper, by using the concentration-compactness principle and the variational method, we obtain a multiplicity result for Kirchhoff-type problems involving critical growth in bounded domains.
In this article, we study the existence and multiplicity of positive solutions for the quasi-linear elliptic problems involving critical Sobolev exponent and a Hardy term.
In this paper we deal with the existence and multiplicity of solutions to the following Kirchhoff-type problems involving the critical growth: { − ( a + b ∫ Ω | ∇ u | 2 d x ) Δ u − a [ Δ ( u 2 ) ] u = u 2 ( 2 ∗ ) − 1 + λ h ( x, u ), x ∈ Ω, u = 0, x ∈ ∂ Ω, (1.1).
In most of these papers, the authors deal with the elliptic problems involving singular potentials and critical exponents.
Limiting ourselves to problems involving the singular potentials and critical exponents, we would like to mention the works [2 6] and the references therein contained.
