2 citations · 3 across the 10 of their papers we have counts for
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On biharmonic equations with -Laplacian and indefinite potentials or critical nonlinearity
Shibo Liu, Kanishka Perera
In this paper we consider nonlinear biharmonic equations with -Laplacian () of the form $$ \left\{ \begin{array}{l} Δ^2 u - Δ_p u + V (x) u = f (x, u) \text{,} u \in H^2…
Schrodinger-Poisson-Slater equations with nonlinearity subscaled near zero
Shibo Liu, Kanishka Perera
We study the following zero-mass Schr{ö}dinger-Poisson-Slater equation \[ - Δu + \left( \frac{1}{4 π| x |} \ast u^2 \right) u = f (| x |, u) \text{,} \qquad u \in \mathcal{D}^{1, 2…
Multiple solutions for Schr{ö}dinger-Poisson-Slater equations with critical growth
Shibo Liu
We obtain multiple solutions for the zero mass Schr{ö}dinger-Poisson-Slater equation \[ - Δu + \left( \frac{1}{4 π| x |} \ast u^2 \right) u = λg (x) | u |^{p - 2} u + | u |^{6 - 2}…
On -Laplacian equations in with nonlinearity sublinear at zero
Shibo Liu, Chunshan Zhao
Let be functions on satisfying , we consider -Laplacian problems of the form \[ \left\{ \begin{array} [c]{l}% -Δ_{p(x)}u+V(x)\vert u\…
Standing waves for 6-superlinear Chern-Simons-Schrödinger systems with indefinite potentials
Shuai Jiang, Shibo Liu
In this paper we consider 6-superlinear Chern-Simons-Schrödinger systems. In contrast to most studies, we consider the case where the potential is indefinite so that the Schröd…
Quasilinear Schrödinger equations with concave and convex nonlinearities
Shibo Liu, Li-Feng Yin
In this paper, we consider the following quasilinear Schrödinger equation \begin{align*} -Δu-uΔ(u^{2})=k(x)\left\vert u\right\vert ^{q-2}u-h(x)\left\vert u\right\vert ^{s-2}u\text{…