Results 21 to 30 of about 522 (77)
A note on Serrin's overdetermined problem [PDF]
, 2014 We consider the solution of the torsion problem $-\Delta u=1$ in $\Omega$ and $u=0$ on $\partial \Omega$. Serrin's celebrated symmetry theorem states that, if the normal derivative $u_\nu$ is constant on $\partial \Omega$, then $\Omega$ must be a ball ...
Ciraolo, Giulio, Magnanini, Rolando
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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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Existence of normalized solutions for the coupled elliptic system with quadratic nonlinearity
Advanced Nonlinear Studies, 2022 In the present paper, we study the existence of the normalized solutions for the following coupled elliptic system with quadratic nonlinearity −Δu−λ1u=μ1∣u∣u+βuvinRN,−Δv−λ2v=μ2∣v∣v+β2u2inRN,\left\{\begin{array}{ll}-\Delta u-{\lambda }_{1}u={\mu }_{1}| u|
Wang Jun, Wang Xuan, Wei Song
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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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On the problem of maximal $L^q$-regularity for viscous Hamilton-Jacobi equations
, 2020 For $q>2, \gamma > 1$, we prove that maximal regularity of $L^q$ type holds for periodic solutions to $-\Delta u + |Du|^\gamma = f$ in $\mathbb{R}^d$, under the (sharp) assumption $q > d \frac{\gamma-1}\gamma$.Comment: 11 ...
Cirant, Marco, Goffi, Alessandro
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Nonexistence of small, odd breathers for a class of nonlinear wave equations
, 2016 In this note, we show that for a large class of nonlinear wave equations with odd nonlinearities, any globally defined odd solution which is small in the energy space decays to $0$ in the local energy norm.
Kowalczyk, Michał +2 more
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Large versus bounded solutions to sublinear elliptic problems
, 2018 Let $L $ be a second order elliptic operator with smooth coefficients defined on a domain $\Omega \subset \mathbb{R}^d$ (possibly unbounded), $d\geq 3$.
Damek, Ewa, Ghardallou, Zeineb
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Advances in Nonlinear AnalysisLet Ω⊂Rn\Omega \subset {{\bf{R}}}^{n} be a smooth bounded domain. In this article, we prove a result of which the following is a by-product: Let q∈]0,1[q\in ]0,1{[}, α∈L∞(Ω)\alpha \in {L}^{\infty }\left(\Omega ), with α>0\alpha \gt 0, and k∈Nk\in {\bf{N}}
Ricceri Biagio
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Concentration with a single sign-changing layer at the higher critical exponents
Advances in Nonlinear Analysis, 2018 We exhibit a new concentration phenomenon for the supercritical ...
Clapp Mónica, Faya Jorge
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On a class of nonlocal nonlinear Schrödinger equations with potential well
Advances in Nonlinear Analysis, 2019 In this paper we investigate the existence, multiplicity and asymptotic behavior of positive solution for the nonlocal nonlinear Schrödinger equations. We exploiting the relationship between the Nehari manifold and eigenvalue problems to discuss how the ...
Wu Tsung-fang
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