Stationary Schrödinger equations in ℝ2 with unbounded or vanishing potentials and involving concave nonlinearities
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DOI: 10.1080/17476933.2017.1313839
Abstract: ABSTRACT We study the existence and multiplicity of solutions for the following class of stationary nonlinear Schrödinger equations: where is a nonnegative parameter, V and Q are unbounded or decaying radial potentials, the nonlinearity f(s)… read more here.
Keywords: dinger equations; equations unbounded; stationary schr; unbounded vanishing ... See more keywords
Infinitely many solutions for a class of stationary Schrödinger equations with non-standard growth
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DOI: 10.1080/17476933.2017.1322074
Abstract: In this paper, we study the existence of infinitely many solutions for a class of stationary Schrödinger type equations in involving the p(x)-Laplacian. The non-linearity is superlinear but does not satisfy the Ambrosetti-Rabinowitz type condition.… read more here.
Keywords: class stationary; solutions class; many solutions; stationary schr ... See more keywords
“Stationary” Schrödinger equation in quantum cosmology
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DOI: 10.1142/s0217751x20400400
Abstract: The conditional principle of extremum in quantum cosmology is formulated for a positive functional of the energy density of space, in which gravitational constraints serve as additional conditions. The extremum conditions determine the discrete spectrum… read more here.
Keywords: cosmology; stationary schr; quantum cosmology; energy density ... See more keywords