Global dynamics for a class of inhomogeneous nonlinear Schrödinger equations with potential
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DOI: 10.1002/mana.201900427
Abstract: We consider a class of L2‐supercritical inhomogeneous nonlinear Schrödinger equations with potential in three dimensions. In the focusing case, using a recent method of Dodson and Murphy, we first study the energy scattering below the… read more here.
Keywords: class; equations potential; nonlinear schr; inhomogeneous nonlinear ... See more keywords
On a class of p‐fractional Laplacian equations with potential depending on parameter
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DOI: 10.1002/mma.6078
Abstract: We discuss the existence of solutions for a class of nonlinear equations driven by the fractional p‐Laplacian operator of the form (−Δ)psu+λsV(x,λ)|u|p−2u=f(x,u)inRN, where 0ps and λ is a positive parameter. By combining variational techniques with… read more here.
Keywords: class; equations potential; potential depending; class fractional ... See more keywords