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20142026
most citedOn branches of positive solutions for p-Laplacian problems at the extreme value of Nehari manifold method

30 citations · 36 across the 11 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.AP2021

Existence of S-shaped type bifurcation curve with dual cusp catastrophe via variational methods

Marcos Leandro Carvalho, Yavdat Il'yasov, Carlos Alberto Santos

We discuss the existence of multiple positive solutions leading to the occurrence of an S-shaped bifurcation curve to the equations of the form $$ -Δ_p u= f(μ,λ, u)~ \mbox{in} ~Ω\s…

math.AP2021★ 2 cited

On orbital stability of the physical ground states of the NLS equations

Yavdat Il'yasov

We prove orbital stability result for physical ground states of a nonlinear Schrödinger (NLS) equation in the sense that the set of these ground states is contained in the set of p…