scholarly journals The existence of constrained minimizers related to fractional $p$-Laplacian equations

2021 ◽  
pp. 1-20
Author(s):  
Qingjun Lou ◽  
Yupeng Qin ◽  
Fang Liu
Keyword(s):  
Laplacian Equations

Uniform attractors for non-autonomous -Laplacian equations

2008 ◽  
Vol 68 (11) ◽  
pp. 3349-3363 ◽  
Author(s):  
Guang-xia Chen ◽  
Cheng-Kui Zhong
Keyword(s):  
Uniform Attractors ◽  
Laplacian Equations

An exact estimate result for singular p-Laplacian equations with sign-changing potential

2018 ◽  
Vol 76 (8) ◽  
pp. 2022-2034
Author(s):  
Yu Duan ◽  
Jia-Feng Liao ◽  
Xin Sun
Keyword(s):  
Exact Estimate ◽  
Laplacian Equations

Generation and Propagation of Interfaces for p-Laplacian Equations

2004 ◽  
Vol 20 (2) ◽  
pp. 319-332 ◽  
Author(s):  
Jun Ning Zhao ◽  
Qing Yi
Keyword(s):  
Laplacian Equations

N-Laplacian Equations in ℝN with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition

2013 ◽  
Vol 13 (2) ◽  
Author(s):  
Nguyen Lam ◽  
Guozhen Lu
Keyword(s):  
Bounded Domain ◽  
Exponential Growth ◽  
Nonnegative Solution ◽  
Nontrivial Solutions ◽  
Critical Exponential Growth ◽  
Trudinger Inequality ◽  
Laplacian Equations

AbstractLet Ω be a bounded domain in ℝwhen f is of subcritical or critical exponential growth. This nonlinearity is motivated by the Moser-Trudinger inequality. In fact, we will prove the existence of a nontrivial nonnegative solution to (0.1) without the Ambrosetti-Rabinowitz (AR) condition. Earlier works in the literature on the existence of nontrivial solutions to N−Laplacian in ℝ

Existence of infinitely many solutions for fractional p-Laplacian Schrödinger–Kirchhof-Type equations with general potentials

2021 ◽  
pp. 2250095
Author(s):  
Ghania Benhamida ◽  
Toufik Moussaoui
Keyword(s):  
Critical Point ◽  
Critical Point Theory ◽  
Point Theory ◽  
Infinitely Many Solutions ◽  
Kirchhoff Type ◽  
Laplacian Equations

In this paper, we use the genus properties in critical point theory to prove the existence of infinitely many solutions for fractional [Formula: see text]-Laplacian equations of Schrödinger-Kirchhoff type.

Remarks on Ricceri’s variational principle and applications to the -Laplacian equations

2007 ◽  
Vol 67 (11) ◽  
pp. 3064-3075 ◽  
Author(s):  
Xianling Fan ◽  
Shao-Gao Deng
Keyword(s):  
Variational Principle ◽  
Laplacian Equations

Pairs of positive solutions for singular -Laplacian equations with a -superlinear potential

2010 ◽  
Vol 73 (5) ◽  
pp. 1136-1142 ◽  
Author(s):  
Sophia Th. Kyritsi ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Positive Solutions ◽  
Laplacian Equations

p-Laplacian Equations in ℝ N with Finite Potential via the Truncation Method

2017 ◽  
Vol 17 (3) ◽  
Author(s):  
Xiangqing Liu ◽  
Junfang Zhao
Keyword(s):  
Truncation Method ◽  
Laplacian Equations

AbstractWe consider the problem

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