scholarly journals Oscillatory Property of Solutions for -Laplacian Equations

2007 ◽  
Vol 2007 (1) ◽  
pp. 058548 ◽  
Author(s):  
Qihu Zhang
Keyword(s):  
Oscillatory Property ◽  
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

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.

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
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