Results 31 to 40 of about 516 (74)
A semilinear problem with a W^{1,1}_0 solution
, 2012 We study a degenerate elliptic equation, proving the existence of a W^{1,1}_0 distributional ...
Boccardo, Lucio +2 more
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Symmetries, Hopf fibrations and supercritical elliptic problems
, 2015 We consider the semilinear elliptic boundary value problem \[ -\Delta u=\left\vert u\right\vert ^{p-2}u\text{ in }\Omega,\text{\quad }u=0\text{ on }\partial\Omega, \] in a bounded smooth domain $\Omega$ of $\mathbb{R}^{N}$ for supercritical exponents $p>\
Clapp, Mónica, Pistoia, Angela
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Existence and Asymptotic Profile of Nodal Solutions to Supercritical Problems
Advanced Nonlinear Studies, 2017 We establish the existence of nodal solutions to the supercritical ...
Clapp Mónica, Pacella Filomena
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Reaction-diffusion problems on time-dependent Riemannian manifolds: stability of periodic solutions
, 2017 We investigate the stability of time-periodic solutions of semilinear parabolic problems with Neumann boundary conditions. Such problems are posed on compact submanifolds evolving periodically in time.
Bandle, Catherine +2 more
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Advances in Nonlinear Analysis, 2020 We study a phase field model proposed recently in the context of tumour growth. The model couples a Cahn–Hilliard–Brinkman (CHB) system with an elliptic reaction-diffusion equation for a nutrient.
Ebenbeck Matthias, Lam Kei Fong
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Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case
Advances in Nonlinear Analysis, 2021 Our purpose of this paper is to study positive solutions of Lane-Emden ...
Ma Yong, Wang Ying, Ledesma César T.
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Conformally covariant parameterizations for relativistic initial data
, 2016 We revisit the Lichnerowicz-York method, and an alternative method of York, in order to obtain some conformally covariant systems.
Delay, Erwann
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Fast and Slow Decaying Solutions of Lane–Emden Equations Involving Nonhomogeneous Potential
Advanced Nonlinear Studies, 2020 Our purpose in this paper is to study positive solutions of the Lane–Emden ...
Chen Huyuan, Huang Xia, Zhou Feng
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Periodic Solutions of Non-autonomous Allen–Cahn Equations Involving Fractional Laplacian
Advanced Nonlinear Studies, 2020 We consider periodic solutions of the following problem associated with the fractional Laplacian: (-∂xx)su(x)+∂uF(x,u(x))=0{(-\partial_{xx})^{s}u(x)+\partial_{u}F(x,u(x))=0} in ℝ{\mathbb{R}}.
Feng Zhenping, Du Zhuoran
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A concentration phenomenon for semilinear elliptic equations
, 2012 For a domain $\Omega\subset\dR^N$ we consider the equation $ -\Delta u + V(x)u = Q_n(x)\abs{u}^{p-2}u$ with zero Dirichlet boundary conditions and $p\in(2,2^*)$.
A.V. Buryak +16 more
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