On the Ambrosetti-Rabinowitz Superlinear Condition

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Non-Nehari manifold method for asymptotically periodic Schrödinger equations (2014, unknown): “In the definite case where σ(−△+ V ) ⊂ (0,∞), Theorem 1.1 is a slight extension of a result by Li, Wang and Zeng [14].”
Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case (2015, background): “11), the following argument is standard (see [27,32] for example), and we give the details here for completeness.”
New Super-quadratic Conditions on Ground State Solutions for Superlinear Schrödinger Equation (2014, unknown): “[13] J. Liu, Y. Wang, Z.-Q. Wang, Solutions for quasilinear Schrödinger equations via the Nehari method, Comm. Partial Differential Equations 29 (2004), 879–901.”
Positive Least Energy Solutions and Phase Separation for Coupled Schrödinger Equations with Critical Exponent (2012, background): “11), the following argument is standard (see [26, 31] for example), and we give the details here for completeness.”
Elliptic Equations and Systems with Subcritical and Critical Exponential Growth Without the Ambrosetti–Rabinowitz Condition (2014, methodology): “It improves results of Miyagaki and Souto [32] to the (SCPI) growth and also gives a different approach from that of [28, 29].”
Ground states of nonlinear Schrödinger equations with potentials (2006, methodology): “By the result of [8], cR is achieved by a positive solution called uR .”