Quasilinear Schrödinger equations : ground state and infinitely many normalized solutions [PDF]
, 2023 Houwang Li, Wenming Zou
openalex +1 more source
Time-interior gradient estimates for quasilinear parabolic equations [PDF]
Indiana University Mathematics Journal 58 (2009) 351--380, 2013 Bounded smooth solutions of the Dirichlet and Neumann problems for a wide variety of quasilinear parabolic equations, including graphical anisotropic mean curvature flows, have gradient bounded in terms of oscillation and elapsed time.
arxiv
Quasilinear parabolic stochastic partial differential equations: existence, uniqueness [PDF]
arXiv, 2015 In this paper, we provide a direct approach to the existence and uniqueness of strong (in the probabilistic sense) and weak (in the PDE sense) solutions to quasilinear stochastic partial differential equations, which are neither monotone nor locally monotone.
arxiv
On a gradient maximum principle for some quasilinear parabolic equations on convex domains [PDF]
arXiv, 2016 We establish a spatial gradient maximum principle for classical solutions to the initial and Neumann boundary value problem of some quasilinear parabolic equations on smooth convex domains.
arxiv
Antisymmetric solutions for a class generalized quasilinear Schrödinger equations [PDF]
, 2020 Janete Soares Gamboa, Jiazheng Zhou
openalex +1 more source
Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds [PDF]
arXiv, 2016 We prove nonexistence of nontrivial, possibly sign changing, stable solutions to a class of quasilinear elliptic equations with a potential on Riemannian manifolds, under suitable weighted volume growth conditions on geodesic balls.
arxiv
Local behavior of solutions of quasilinear parabolic equations on metric spaces [PDF]
arXiv, 2017 We introduce a notion of quasilinear parabolic equations over metric measure spaces. Under sharp structural conditions, we prove that local weak solutions are locally bounded and satisfy the parabolic Harnack inequality. Applications include the parabolic maximum principle and pointwise estimates for weak solutions.
arxiv
Infinitely many solutions for quasilinear Schrödinger equation with concave-convex nonlinearities
Boundary Value ProblemsIn this work, we study the existence of infinitely many solutions to the following quasilinear Schrödinger equations with a parameter α and a concave-convex nonlinearity: 0.1 − Δ p u + V ( x ) | u | p − 2 u − Δ p ( | u | 2 α ) | u | 2 α − 2 u = λ h 1 ( x
Lijuan Chen +3 more
doaj +1 more source
On the principle of linearized stability in interpolation spaces for quasilinear evolution equations [PDF]
arXiv, 2018 We give a proof for the asymptotic exponential stability of equilibria of quasilinear parabolic evolution equations in admissible interpolation spaces.
arxiv
A proof of validity for multiphase Whitham modulation theory. [PDF]
Proc Math Phys Eng Sci, 2020 Bridges TJ, Kostianko A, Schneider G.
europepmc +1 more source