Results 11 to 20 of about 712 (60)
Advances in Nonlinear Analysis, 2023 We consider the nonlinear elliptic–parabolic boundary value problem involving the Dirichlet-to-Neumann operator of p-Laplace type at the critical Sobolev exponent.
Deng Yanhua, Tan Zhong, Xie Minghong
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Blow-up solutions with minimal mass for nonlinear Schrödinger equation with variable potential
Advances in Nonlinear Analysis, 2021 This paper studies the mass-critical variable coefficient nonlinear Schrödinger equation. We first get the existence of the ground state by solving a minimization problem.
Pan Jingjing, Zhang Jian
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Wiener criteria for existence of large solutions of quasilinear elliptic equations with absorption [PDF]
, 2014 We obtain sufficient conditions expressed in terms of Wiener type tests involving Hausdorff or Bessel capacities for the existence of large solutions to equations (1) $-\Gd_pu+e^{\lambda u}+\beta=0$ or (2) $-\Gd_pu+\lambda |u|^{q-1}u+\beta=0$ in a ...
Quoc, Hung Nguyen, Veron, Laurent
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Advances in Nonlinear Analysis, 2020 In this paper, we study the fractional p-Laplacian evolution equation with arbitrary initial energy,
Liao Menglan, Liu Qiang, Ye Hailong
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Advances in Nonlinear Analysis, 2021 We consider a degenerate chemotaxis model with two-species and two-stimuli in dimension d ≥ 3 and find two critical curves intersecting at one point which separate the global existence and blow up of weak solutions to the problem.
Carrillo Antonio José, Lin Ke
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Self-Similar Blowup Solutions to the 2-Component Degasperis-Procesi Shallow Water System
, 2010 In this article, we study the self-similar solutions of the 2-component Degasperis-Procesi water system:% [c]{c}% \rho_{t}+k_{2}u\rho_{x}+(k_{1}+k_{2})\rho u_{x}=0 u_{t}-u_{xxt}+4uu_{x}-3u_{x}u_{xx}-uu_{xxx}+k_{3}\rho\rho_{x}=0. By the separation method,
Camassa +19 more
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Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data
, 2015 A simple proof of the existence of solutions for the two-dimensional Keller-Segel model with measures with all the atoms less than $8\pi$ as the initial data is given.
Biler, Piotr, Zienkiewicz, Jacek
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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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Wave breaking of periodic solutions to the Fornberg-Whitham equation
, 2017 Based on recent well-posedness results in Sobolev (or Besov spaces) for periodic solutions to the Fornberg-Whitham equations we investigate here the questions of wave breaking and blow-up for these solutions.
Hoermann, Guenther
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A Fujita-type blowup result and low energy scattering for a nonlinear Schr\"o\-din\-ger equation
, 2015 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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