Results 31 to 40 of about 720 (91)
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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Advances in Nonlinear Analysis, 2021 In this paper, we study the fractional Schrödinger-Poisson ...
Meng Yuxi, Zhang Xinrui, He Xiaoming
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On Singular Liouville Equations and Systems
Advanced Nonlinear Studies, 2017 We consider some singular Liouville equations and systems motivated by uniformization problems in a non-smooth setting, as well as from models in mathematical physics.
Malchiodi Andrea
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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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Shooting with degree theory: Analysis of some weighted poly-harmonic systems [PDF]
, 2014 In this paper, the author establishes the existence of positive entire solutions to a general class of semilinear poly-harmonic systems, which includes equations and systems of the weighted Hardy--Littlewood--Sobolev type.
Villavert, John
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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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Existence of groundstates for a class of nonlinear Choquard equations [PDF]
, 2012 We prove the existence of a nontrivial solution (u \in H^1 (\R^N)) to the nonlinear Choquard equation [- \Delta u + u = \bigl(I_\alpha \ast F (u)\bigr) F' (u) \quad \text{in (\R^N),}] where (I_\alpha) is a Riesz potential, under almost necessary ...
Jean, Van Schaftingen, Vitaly Moroz
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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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Existence of solutions for a general quasilinear elliptic system via perturbation method
Boundary Value Problems, 2013 In this paper, we consider the following quasilinear elliptic system: {−∑i,j=1NDj(aij(x,u)Diu)+12∑i,j=1NDsaij(x,u)DiuDju=2αα+β|u|α−2|v|βu,x∈Ω,−∑i,j=1NDj(bij(x,v)Div)+12∑i,j=1NDsbij(x,v)DivDjv=2βα+β|u|α|v|β−2v,x∈Ω,u=0,v=0,x∈∂Ω, where Diu=∂u∂xi, Dsaij(x,u)=
Y. Jiao, Shengmao Fu, Yanlin Wang
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