Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric
Positive solutions for nonlinear Schrödinger equations with deepening potential well
A Dirichlet problem with asymptotically linear and changing sign nonlinearity.
This paper deals with the problem of finding positive solutions to the equation -∆[u] = g(x,u) on a bounded domain 'Omega' with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour. The solutions are found using the Mountain Pass Theorem.
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