Results 31 to 40 of about 733 (91)
On Critical p-Laplacian Systems
Advanced Nonlinear Studies, 2017 We consider the critical p-Laplacian ...
Guo Zhenyu, Perera Kanishka, Zou Wenming
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Advanced Nonlinear Studies, 2020 In this paper, we investigate the existence of nontrivial solutions to the following fractional p-Laplacian system with homogeneous nonlinearities of critical Sobolev growth:
Lu Guozhen, Shen Yansheng
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Self-Similar Blow-Up Profiles for a Reaction-Diffusion Equation with Strong Weighted Reaction
Advanced Nonlinear Studies, 2020 We study the self-similar blow-up profiles associated to the following second-order reaction-diffusion equation with strong weighted reaction and unbounded weight:
Iagar Razvan Gabriel, Sánchez Ariel
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Least energy solutions for a quasilinear Schrödinger equation with potential well
Boundary Value Problems, 2013 In this paper, we consider the existence of least energy solutions for the following quasilinear Schrödinger equation: with a(x)≥0 having a potential well, where N≥3 and λ>0 is a parameter. Under suitable hypotheses, we obtain the existence of a least
Y. Jiao
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Sign changing solutions of the Hardy–Sobolev–Maz'ya equation
Advances in Nonlinear Analysis, 2014 In this article we will study the existence, multiplicity and Morse index of sign changing solutions for the Hardy–Sobolev–Maz'ya (HSM) equation in bounded domain and involving critical growth.
Ganguly Debdip
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Existence of multiple solutions of p-fractional Laplace operator with sign-changing weight function
Advances in Nonlinear Analysis, 2015 In this article, we study the following p-fractional Laplacian equation: (Pλ)-2∫ℝn|u(y)-u(x)|p-2(u(y)-u(x))|x-y|n+pαdy=λ|u(x)|p-2u(x)+b(x)|u(x)|β-2u(x)inΩ,u=0inℝn∖Ω,u∈Wα,p(ℝn),$ (P_{\lambda }) \quad -2\int _{\mathbb {R}^n}\frac{|u(y)-u(x)|^{p-2}(u(y)-u(x)
Goyal Sarika, Sreenadh Konijeti
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Advances in Nonlinear Analysis, 2021 In this paper, we study the fractional Schrödinger-Poisson ...
Meng Yuxi, Zhang Xinrui, He Xiaoming
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Perturbation results of critical elliptic equations of Caffarelli-Kohn-Nirenberg type [PDF]
, 2002 We find for small $\epsilon$ positive solutions to the equation \[-\textrm{div} (|x|^{-2a}\nabla u)-\displaystyle{\frac{\lambda}{|x|^{2(1+a)}}} u= \Big(1+\epsilon k(x)\Big)\frac{u^{p-1}}{|x|^{bp}}\] in ${\mathbb{R}}^N$, which branch off from the manifold
Ambrosetti +10 more
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Fractional parabolic problems with a nonlocal initial condition
Moroccan Journal of Pure and Applied Analysis, 2017 In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the ...
Abdellaoui B. +2 more
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A system of equations involving the fractional p-Laplacian and doubly critical nonlinearities
Advanced Nonlinear Studies, 2023 This article deals with existence of solutions to the following fractional pp-Laplacian system of equations: (−Δp)su=∣u∣ps*−2u+γαps*∣u∣α−2u∣v∣βinΩ,(−Δp)sv=∣v∣ps*−2v+γβps*∣v∣β−2v∣u∣αinΩ,\left\{\begin{array}{l}{\left(-{\Delta }_{p})}^{s}u={| u| }^{{p}_{s}^{
Bhakta Mousomi +2 more
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