Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations

Abstract

The purpose of this paper is mainly to investigate the existence of entire solutions of the stationary Kirchhoff type equations driven by the fractional

Existence results for Kirchhoff type systems with singular nonlinearity

“…We refer to [19] for additional result on Kirchhoff equations. In recent years, there has been considerable progress on the study of nonlocal problems, (see [15,17,18]).…”

Entire solutions for critical $p$-fractional Hardy Schrödinger Kirchhoff equations

“…First, by Theorem 6.7 and Corollary 7.2 of [15] we have the following embedding result for the uniformly convex Banach space E defined in the introduction. The fact that E is a uniformly convex Banach space can be easily derived following the main arguments of Proposition A.9 of [3], or Lemma 10 of [36], or Lemma A.6 of [37].…”

“…We refer e.g. to [2,10,16,29,30,32,36,37] and the references therein for details. But the equations treated here contain also Hardy terms, which make the analysis more delicate and quite interesting.…”

Energy solutions and concentration problem of fractional Schrödinger equation

“…In [23], in the asymptotically periodic case, a nontrivial solution is obtained by variational methods. For more related study, the interested reader may consult [24][25][26][27][28][29][30][31][32][33][34] and the references therein. It should also be noted that the concentration phenomena for the fractional Schrödinger equation have been investigated byDávila, del Pino et al [35,36], and Fall, Mahmoudi and Valdinoci [37].…”