In this article we will study the existence, multiplicity and Morse index of sign changing solutions for the Hardy–Sobolev–Maz'ya (HSM) equation in bounded domain and involving critical growth. We obtain infinitely many sign changing solutions for HSM equation. We also establish an estimate on the Morse index for the sign changing solutions
AbstractLet Ω⊂RN be a smooth bounded domain such that 0∈Ω, N⩾7, 0⩽s<2, 2∗(s)=2(N−s)/(N−2). We prove ...
We are concerned with Liouville-type results of stable solutions and finite Morse index solutions fo...
In this paper, we consider the coupled elliptic system with a Sobolev critical exponent. We show the...
We study the following Brézis–Nirenberg problem (Comm Pure Appl Math 36:437–477, 1983): $$-\Delta u=...
AbstractLet Ω⊂RN be a bounded domain such that 0∈Ω,N⩾7,2∗=2NN−2. We obtain existence of sign-changin...
We consider the following perturbed critical Dirichlet problem involving the Hardy–Schrödinger opera...
AbstractIn this paper, under an improved Hardy–Rellich's inequality, we study the existence of multi...
The existence and multiplicity of sign-changing solutions for a class of fourth elliptic equations w...
We discuss existence issues for a Dirichlet problem in bounded domains with polynomial nonlinearitie...
AbstractIn this paper, we study a kind of quasilinear elliptic problem which involves multiple criti...
This paper deals with the existence of sign changing solutions of the problem \[ \begin{eqnarray*}\l...
AbstractLet N⩾3, 1<p<(N+2)/(N−2) and 0<λ<(N−2)2/4. We study the existence of multiple sign-changing ...
AbstractIn 1988, A. Bahri and P.L. Lions [A. Bahri, P.L. Lions, Morse-index of some min–max critical...
AbstractSome parameter-depending linking theorems are established, which allow to produce a bounded ...
In this article we study the Schrodinger equation $$ -\Delta u=f(x,u),\quad x\in\Omega, \quad u\in...
AbstractLet Ω⊂RN be a smooth bounded domain such that 0∈Ω, N⩾7, 0⩽s<2, 2∗(s)=2(N−s)/(N−2). We prove ...
We are concerned with Liouville-type results of stable solutions and finite Morse index solutions fo...
In this paper, we consider the coupled elliptic system with a Sobolev critical exponent. We show the...
We study the following Brézis–Nirenberg problem (Comm Pure Appl Math 36:437–477, 1983): $$-\Delta u=...
AbstractLet Ω⊂RN be a bounded domain such that 0∈Ω,N⩾7,2∗=2NN−2. We obtain existence of sign-changin...
We consider the following perturbed critical Dirichlet problem involving the Hardy–Schrödinger opera...
AbstractIn this paper, under an improved Hardy–Rellich's inequality, we study the existence of multi...
The existence and multiplicity of sign-changing solutions for a class of fourth elliptic equations w...
We discuss existence issues for a Dirichlet problem in bounded domains with polynomial nonlinearitie...
AbstractIn this paper, we study a kind of quasilinear elliptic problem which involves multiple criti...
This paper deals with the existence of sign changing solutions of the problem \[ \begin{eqnarray*}\l...
AbstractLet N⩾3, 1<p<(N+2)/(N−2) and 0<λ<(N−2)2/4. We study the existence of multiple sign-changing ...
AbstractIn 1988, A. Bahri and P.L. Lions [A. Bahri, P.L. Lions, Morse-index of some min–max critical...
AbstractSome parameter-depending linking theorems are established, which allow to produce a bounded ...
In this article we study the Schrodinger equation $$ -\Delta u=f(x,u),\quad x\in\Omega, \quad u\in...
AbstractLet Ω⊂RN be a smooth bounded domain such that 0∈Ω, N⩾7, 0⩽s<2, 2∗(s)=2(N−s)/(N−2). We prove ...
We are concerned with Liouville-type results of stable solutions and finite Morse index solutions fo...
In this paper, we consider the coupled elliptic system with a Sobolev critical exponent. We show the...
DOI
Add to ORKG