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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… Click to show full 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) may exhibit exponential growth and g(x, s) is a concave term. The approach used here is based on a version of the Trudinger–Moser inequality, mountain-pass theorem and the Ekeland’s variational principle in a suitable weighted Sobolev space.
Keywords:
dinger equations;
equations unbounded;
stationary schr;
unbounded vanishing;
schr dinger
Journal Title: Complex Variables and Elliptic Equations
Year Published: 2018
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Journal Title: Complex Variables and Elliptic Equations
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!