Existence of Solutions for Critical (p,q)-Laplacian Equations in ℝN

2021 ◽  
Author(s):  
Laura Baldelli ◽  
Roberta Filippucci
Keyword(s):  
Existence Of Solutions ◽  
Laplacian Equations

Multiple solutions for a class of p ( x )-Laplacian equations in involving the critical exponent

2010 ◽  
Vol 466 (2118) ◽  
pp. 1667-1686 ◽  
Author(s):  
Yongqiang Fu ◽  
Xia Zhang
Keyword(s):  
Critical Exponent ◽  
Multiple Solutions ◽  
Existence Of Solutions ◽  
Concentration Compactness ◽  
Concentration Compactness Principle ◽  
Radially Symmetric Solutions ◽  
Compactness Principle ◽  
Laplacian Equations

In this paper, we first establish a principle of concentration compactness in . Then, based on this concentration compactness principle, we study the existence of solutions for a class of p ( x )-Laplacian equations in involving the critical exponent. Under suitable assumptions, we obtain a sequence of radially symmetric solutions associated with a sequence of positive energies going towards infinity.

On some nonlinear hyperbolic p(x,t)-Laplacian equations

2018 ◽  
Vol 24 (1) ◽  
pp. 55-69
Author(s):  
Taghi Ahmedatt ◽  
Ahmed Aberqi ◽  
Abedlfettah Touzani ◽  
Chihab Yazough
Keyword(s):  
Global Existence ◽  
Nonlinear Operator ◽  
Existence Of Solutions ◽  
Global Existence Of Solutions ◽  
Laplacian Equations

Abstract This paper is devoted to study the global existence of solutions of the hyperbolic Dirichlet equation u_{tt}=Lu+f(x,t)\quad\text{in }\Omega_{T}=\Omega\times(0,T), where L is a nonlinear operator and {\phi(x,t,\cdot\,)} , {f(x,t)} and the exponents of the nonlinearities {p(x,t)} and {\mu(x,t)} are given functions.

scholarly journals Existence of solutions for perturbed fractional p-Laplacian equations

2016 ◽  
Vol 260 (2) ◽  
pp. 1392-1413 ◽  
Author(s):  
Mingqi Xiang ◽  
Binlin Zhang ◽  
Vicenţiu D. Rădulescu
Keyword(s):  
Existence Of Solutions ◽  
Laplacian Equations
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