3 papers
math.AP2025
On a scaled abstract linking theorem with an application to the Schrödinger--Poisson--Slater equation
Kanishka Perera, Kaye Silva
We prove an abstract linking theorem that can be used to show existence of solutions to various types of variational elliptic equations, including Schrödinger--Poisson--Slater typ…
math.AP2025
On the -dimensional Schrödinger--Poisson--Slater equation à la Brezis--Nirenberg
Kanishka Perera, Kaye Silva
With aid of the Pohozaev's identity and Nehari manifold, we prove the existence and multiplicity of solutions to -dimensional Schrödinger--Poisson--Slater type equations involv…
math.AP2025
Prescribed energy solutions to some scaled problems via a scaled Nehari manifold
Kanishka Perera, Kaye Silva
We prove the existence, multiplicity, and bifurcation of solutions with prescribed energy for a broad class of scaled problems by introducing a suitable notion of scaling based Neh…