Solutions to the overdetermined boundary problem for semilinear equations with position-dependent nonlinearities
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DOI: 10.1016/j.aim.2019.05.017
Abstract: We show that a wide range of overdetermined boundary problems for semilinear equations with position-dependent nonlinearities admits nontrivial solutions. The result holds true both on the Euclidean space and on compact Riemannian manifolds. As a… read more here.
Keywords: equations position; overdetermined boundary; dependent nonlinearities; position dependent ... See more keywords
Kinematical invariance groups of the 3d Schrödinger equations with position dependent masses
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DOI: 10.1063/1.4986171
Abstract: Kinematical invariance groups of the 3d Schrodinger equations with position dependent masses and arbitrary potentials are classified. All non-equivalent classes of such equations are presented together with the corresponding symmetry algebras. The specific symmetries connected… read more here.
Keywords: equations position; kinematical invariance; position dependent; invariance groups ... See more keywords