This paper concerns itself with the nonexistence and multiplicity of solutions for the following
fractional Kirchhoff-type problem involving the critical Sobolev exponent:[a+ b⁢(∬ ℝ 2⁢ N …

In this paper, we study the multiplicity of positive solutions for the following concave–convex
elliptic equation: where 1< q< 2< p< 2*(2*= 2NN− 2 if N⩾ 3, 2*=∞ if N= 1, 2) and the …

Extremality results proved in this Monograph for an abstract operator equation provide the
theoretical framework for developing new methods that allow the treatment of a variety of …

We are concerned with the following nonlinear Dirichlet problem:− Δu= h (x) u q+ f (x, u), 0⩽
u∈ H 01 (Ω), 0< q< 1, where Ω is a bounded smooth domain in RN (N⩾ 1) and h (x)∈ …

This book deals with nonlinear boundary value problems for semilinear elliptic equations on
unbounded domains with nonlinearities involving the subcritical Sobolev exponent. The …

This paper concerns with the existence of solutions for the following fractional Kirchhoff
problem with critical nonlinearity:\left (∫ ∫ _ R^ 2N\left| u\left (x\right)-u\left (y\right)\right …

In this paper, we prove the existence of multiple ground-state solutions for the
nonhomogeneous p-Kirchhoff elliptic equation where V (x)∈ C (RN) and V (x)→+∞ as …

Multiple positive solutions for equations involving critical Sobolev exponent in RN ∗ Page 1
Electronic Journal of Differential Equations, Vol. 1997(1997), No. 13, pp. 1–10. ISSN: 1072-6691 …

We prove some existence results for the problem (1λ, μ) with 0< q< 1< p depending on the
range of parameters λ and μ. To establish the existence of solutions we use the method of …

(P λ)−△ u+ a (x) u= λb (x) f (u), x∈ RN, u∈ H1(RN), where λ> 0 is a parameter, a and b are
positive potentials, while the nonlinear term f: R→ R is sublinear at infinity. Two cases will be …