AbstractThis paper is concerned with nonlocal Kirchhoffʼs equation{−(a+b∫Ω|∇u|2)Δu=f(x,u)in Ω,u=0on ∂Ω, via variational methods and invariant sets of descent flow. We obtain existence of signed and sign-changing solutions with asymptotically 3-linear bounded nonlinearity
AbstractWe study a quasilinear elliptic problem depending on a parameter λ of the form −Δpu=λf(u)in ...
AbstractGiven a bounded domain Ω in RN, and a function a∈Lq(Ω) with q>N/2, we study the existence of...
AbstractFor a sign-changing function a(x), we consider solutions of the following semilinear ellipti...
In this paper, we study Kirchhoff equations with logarithmic nonlinearity: −(a + b R |∇u| 2 )∆u + V(...
AbstractWe study the uniqueness of solution for the following boundary value problem involving a non...
AbstractLet Ω⊂RN be a bounded domain such that 0∈Ω,N⩾7,2∗=2NN−2. We obtain existence of sign-changin...
AbstractThe existence of nontrivial solutions of Kirchhoff type equations is an important nonlocal q...
This paper deals with the problem of finding positive solutions to the equation ¡¢u = g(x; u) on a ...
AbstractIn this paper, under an improved Hardy–Rellich's inequality, we study the existence of multi...
AbstractBy variational methods, we prove the existence of a sign-changing solution for the p-Laplaci...
AbstractIn 1988, A. Bahri and P.L. Lions [A. Bahri, P.L. Lions, Morse-index of some min–max critical...
AbstractLet N⩾3, 1<p<(N+2)/(N−2) and 0<λ<(N−2)2/4. We study the existence of multiple sign-changing ...
AbstractBy Karamata regular variation theory and perturbation method, we show the exact asymptotical...
AbstractWe prove existence and nonexistence of positive solutions for the quasilinear system−Δpu=λa(...
AbstractWe deal with the quasilinear Schrödinger equation −div(|∇u|p−2∇u)+(λa(x)+1)|u|p−2u=|u|q−2u,u...
AbstractWe study a quasilinear elliptic problem depending on a parameter λ of the form −Δpu=λf(u)in ...
AbstractGiven a bounded domain Ω in RN, and a function a∈Lq(Ω) with q>N/2, we study the existence of...
AbstractFor a sign-changing function a(x), we consider solutions of the following semilinear ellipti...
In this paper, we study Kirchhoff equations with logarithmic nonlinearity: −(a + b R |∇u| 2 )∆u + V(...
AbstractWe study the uniqueness of solution for the following boundary value problem involving a non...
AbstractLet Ω⊂RN be a bounded domain such that 0∈Ω,N⩾7,2∗=2NN−2. We obtain existence of sign-changin...
AbstractThe existence of nontrivial solutions of Kirchhoff type equations is an important nonlocal q...
This paper deals with the problem of finding positive solutions to the equation ¡¢u = g(x; u) on a ...
AbstractIn this paper, under an improved Hardy–Rellich's inequality, we study the existence of multi...
AbstractBy variational methods, we prove the existence of a sign-changing solution for the p-Laplaci...
AbstractIn 1988, A. Bahri and P.L. Lions [A. Bahri, P.L. Lions, Morse-index of some min–max critical...
AbstractLet N⩾3, 1<p<(N+2)/(N−2) and 0<λ<(N−2)2/4. We study the existence of multiple sign-changing ...
AbstractBy Karamata regular variation theory and perturbation method, we show the exact asymptotical...
AbstractWe prove existence and nonexistence of positive solutions for the quasilinear system−Δpu=λa(...
AbstractWe deal with the quasilinear Schrödinger equation −div(|∇u|p−2∇u)+(λa(x)+1)|u|p−2u=|u|q−2u,u...
AbstractWe study a quasilinear elliptic problem depending on a parameter λ of the form −Δpu=λf(u)in ...
AbstractGiven a bounded domain Ω in RN, and a function a∈Lq(Ω) with q>N/2, we study the existence of...
AbstractFor a sign-changing function a(x), we consider solutions of the following semilinear ellipti...
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