Some new entire solutions of semilinear elliptic equations on Rn

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Locally uniform convergence to an equilibrium for nonlinear parabolic equations on $R^N$ (2015, background): “There is typically a vast variety of them in dimension N ≥ 2, including families of ground states at various levels, functions which are periodic in some variables and decay in others [5], solutions which decay along all but finitely many rays emanating from the origin [22], as well as saddle shaped”
Intermediate reduction method and infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials (2015, background): “Inspired by the results in [3, 21, 33, 41] and [34, 8], it is interesting to ask the following question:”
Multi-bump solutions of -Δn = K(x)u (n+2)/(n-2) on lattices in ℝ n (2018, methodology): “For subcritical exponent problems, we refer to Ambrosetti-Malchiodi [1], Gui-Wei [25], Malchiodi [39], Li-Nirenberg [37], Lin-Ni-Wei [38], Ao-WeiZeng [2] and the references therein.”