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Published in 2019 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201800256
Abstract: We introduce affine and linearly invariant families of locally injective harmonic mappings of the unit disk D. We derive sharp distortion theorems for the Jacobian that are used to establish a uniform modulus of continuity…
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Keywords:
type families;
harmonic mappings;
nehari type;
families harmonic ... See more keywords
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Published in 2021 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-021-01704-w
Abstract: We deal with the existence of Nehari-type ground state solutions for the superlinear p(x)-Laplacian equation $$\begin{aligned} -\triangle _{p(x)} u+V(x)|u|^{p(x)-2}u= f(x,u),\; x\in {\mathbb {R}}^N,\;u\in W^{1,p(x)}({\mathbb {R}}^N). \end{aligned}$$ Under a weaker Nehari condition, we establish some existence…
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Keywords:
state solutions;
ground state;
type ground;
nehari type ... See more keywords
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Published in 2020 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2020.1843643
Abstract: In this paper, we deal with the variable growth Schrodinger–Poisson Systems in R 3 : − d i v ( | ∇ u | p ( x ) − 2 ∇ u ) + (…
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Keywords:
type ground;
poisson systems;
nehari type;
variable growth ... See more keywords
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Published in 2017 at "Taiwanese Journal of Mathematics"
DOI: 10.11650/tjm/7784
Abstract: This paper is dedicated to studying the following Schrodinger-Poisson system\[ \begin{cases} -\Delta u + V(x)u + K(x) \phi(x)u = f(x,u), x t > 0, \; \tau \neq 0\]with constant $\theta_0 \in (0,1)$, instead of $\lim_{|t|…
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Keywords:
type ground;
nehari type;
poisson;
state solutions ... See more keywords