AbstractA new version of perturbation theory is developed which produces infinitely many sign-changing critical points for uneven functionals. The abstract result is applied to the following elliptic equations with a Hardy potential and a perturbation from symmetry:-Δu-μu|x|2=f(x,u)+p(x,u) in Ω,u=0 on ∂Ωand-Δu=|u|q-2|x|su+p(x,u) in Ω,u=0 on ∂Ω,where 0<s<2,Ω is a smooth bounded domain of Rn, and p(x,u) is not odd in u. Infinitely many sign-changing solutions are obtained
The critical exponents of nonlinear elliptic equations, which are perturbations of homogeneous probl...
In this work we prove the existence of infinitely many nonradial solutions, that change sign, to th...
We obtain multiple critical points for perturbed symmetric functionals associated with quasilinear e...
AbstractA new version of perturbation theory is developed which produces infinitely many sign-changi...
AbstractWe study the multiplicity of solutions for the elliptic problem−Δu=f(x,u)+εg(x,u)in Ω and u=...
We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequalit...
We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequalit...
We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequalit...
We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequalit...
We prove that the elliptic system −∆u = |v|q−2v + k(x), x ∈ Ω, (1) −∆v = |u|p−2u+ h(x), x ∈ Ω, (2) w...
In this article, we study the elliptic boundary value problem $$\displaylines{ -\Delta u+a(x)u=g(...
AbstractWe propose a direct approach for detecting arbitrarily many solutions for perturbed elliptic...
We consider the following elliptic system: -\Delta u= |v|^{p-1} v + h(x) % & x\in \Omega \\ -\...
We consider the following boundary value problem {-Δu = g(x, u) + f(x, u) x ∈ Ω u = 0 x ∈ ∂Ω where g...
Abstract. We prove a critical-point result which provides conditions for the existence of infinitely...
The critical exponents of nonlinear elliptic equations, which are perturbations of homogeneous probl...
In this work we prove the existence of infinitely many nonradial solutions, that change sign, to th...
We obtain multiple critical points for perturbed symmetric functionals associated with quasilinear e...
AbstractA new version of perturbation theory is developed which produces infinitely many sign-changi...
AbstractWe study the multiplicity of solutions for the elliptic problem−Δu=f(x,u)+εg(x,u)in Ω and u=...
We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequalit...
We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequalit...
We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequalit...
We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequalit...
We prove that the elliptic system −∆u = |v|q−2v + k(x), x ∈ Ω, (1) −∆v = |u|p−2u+ h(x), x ∈ Ω, (2) w...
In this article, we study the elliptic boundary value problem $$\displaylines{ -\Delta u+a(x)u=g(...
AbstractWe propose a direct approach for detecting arbitrarily many solutions for perturbed elliptic...
We consider the following elliptic system: -\Delta u= |v|^{p-1} v + h(x) % & x\in \Omega \\ -\...
We consider the following boundary value problem {-Δu = g(x, u) + f(x, u) x ∈ Ω u = 0 x ∈ ∂Ω where g...
Abstract. We prove a critical-point result which provides conditions for the existence of infinitely...
The critical exponents of nonlinear elliptic equations, which are perturbations of homogeneous probl...
In this work we prove the existence of infinitely many nonradial solutions, that change sign, to th...
We obtain multiple critical points for perturbed symmetric functionals associated with quasilinear e...
DOI
Add to ORKG