Ground states for Kirchhoff equations without compact condition

By Zuji Guo. 2015

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Ground state solutions of Nehari–Pohozaev type for Kirchhoff-type problems with general potentials (2017, background): “Different from [23], Guo [16] defined a new manifold M̄ = {u ∈ H1(R3) : 1 2 〈 ′(u), u〉 + P(u) = 0} (it will be called the Nehari–Pohozaev manifold), where (u) = 1 2 ∫ R3 (a|∇u|2 + u2)dx + b 4 (∫”
A singularly perturbed Kirchhoff problem revisited (2016, background): “[9, 11, 15, 16, 17, 18, 25, 26, 28, 35] for mathematical researches on Kirchhoff type equations on bounded domains and in the whole space, respectively.”
Existence and non-existence results for Kirchhoff-type problems with convolution nonlinearity (2018, result): “[12] Z. Guo, Ground states for Kirchhoff equations without compact condition, J. Differential Equations 259 (2015), no. 7, 2884–2902.”