For a (2,q)-Laplacian Schrödinger equation with inhomogeneous nonlinearity and prescribed L2 mass, ground states exist above a sharp mass threshold in the subcritical regime, do not exist in the critical regime, and exist on a Pohozaev manifold in the supercritical regime.
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Ground state solutions of a class of (2,q)-Laplacian Schr\"odinger equations with inhomogeneous nonlinearity
For a (2,q)-Laplacian Schrödinger equation with inhomogeneous nonlinearity and prescribed L2 mass, ground states exist above a sharp mass threshold in the subcritical regime, do not exist in the critical regime, and exist on a Pohozaev manifold in the supercritical regime.