Nehari manifold and existence of positive solutions to a class of quasilinear problems

83 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A multiplicity results for a singular problem involving the fractional p-Laplacian operator (2016, background): “To obtain multiple (at least two distinct, positive) solutions of problem (Pλ), we combine some well-known fibering maps (i.e. maps of the form t → Jλ(tu), see (Alves and ElHamidi [2], Brown andZhang [3]) and byminimization on the suitable subset of Nehari manifold.”
The Nehari manifold for systems of nonlinear elliptic equations (2006, background): “Semilinear and quasilinear scalar elliptic equations with concave and convex nonlinearities are widely studied, we can refer the reader to [1, 4, 10, 18] and to the”
An exact estimate result for a class of singular equations with critical exponents (2011, background): “In Section 2 we obtain the value Λ through the connection between Nλ and the fibrering maps (i.e., maps of the form t → Iλ(tu); see Alves and El Hamidi [1], Brown and Zhang [7]).”
The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator (2016, methodology): “, maps of the form t → Jλ (tu), see (Alves-El Hamidi [1], Brown-Zhang [5]) and by minimization on the suitable subset of Nehari manifold.”