Results 21 to 30 of about 669 (68)
Self-Similar Blow-Up Profiles for a Reaction-Diffusion Equation with Strong Weighted Reaction
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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On Singular Liouville Equations and Systems
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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Shooting with degree theory: Analysis of some weighted poly-harmonic systems [PDF]
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
We consider the critical p-Laplacian ...
Guo Zhenyu, Perera Kanishka, Zou Wenming
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Weighted critical exponents of Sobolev-type embeddings for radial functions
In this article, we prove the upper weighted critical exponents for some embeddings from weighted Sobolev spaces of radial functions into weighted Lebesgue spaces. We also consider the lower critical exponent for certain embedding.
Su Jiabao, Wang Cong
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On the global existence for the axisymmetric Euler equations [PDF]
This paper deals with the global well-posedness of the 3D axisymmetric Euler equations for initial data lying in some critical Besov spacesComment: 14 ...
Abidi, Hammadi +2 more
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Sign changing solutions of the Hardy–Sobolev–Maz'ya equation
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
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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In this paper, we study the fractional Schrödinger-Poisson ...
Meng Yuxi, Zhang Xinrui, He Xiaoming
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A Fujita-type blowup result and low energy scattering for a nonlinear Schr\"o\-din\-ger equation
In this paper we consider the nonlinear Schr\"o\-din\-ger equation $i u_t +\Delta u +\kappa |u|^\alpha u=0$. We prove that if $\alpha
Cazenave, Thierry +3 more
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