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- Pohang University of Science and TechnologyKR6 papers
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7 papers · 1 filter
Nonrelativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations
Sangdon Jin, Jinmyoung Seok
We study the nonrelativistic limit of solitary waves from Nonlinear Maxwell-Klein-Gordon equations (NMKG) to Nonlinear Schrodinger-Poisson equations (NSP). It is known that the exi…
Regularity estimates for singular parabolic measure data problems with sharp growth
Jung-Tae Park, Pilsoo Shin
We prove global gradient estimates for parabolic -Laplace type equations with measure data, whose model is $$u_t - \textrm{div} \left(|Du|^{p-2} Du\right) = μ\quad \textrm{in} \…
Semi-classical limit of quantum free energy minimizers for the gravitational Hartree equation
Woocheol Choi, Younghun Hong, Jinmyoung Seok
For the gravitational Vlasov-Poisson equation, Guo and Rein constructed a class of classical isotropic states as minimizers of free energies (or energy-Casimir functionals) under m…
Global regularity for degenerate/singular parabolic equations involving measure data
Sun-Sig Byun, Jung-Tae Park, Pilsoo Shin
We consider degenerate and singular parabolic equations with -Laplacian structure in bounded nonsmooth domains when the right-hand side is a signed Radon measure with finite tot…
Limit profiles and uniqueness of ground states to the nonlinear Choquard equations
Jinmyoung Seok
Consider nonlinear Choquard equations \begin{equation*} \left\{\begin{array}{rcl} -Δu +u & = &(I_α*|u|^p)|u|^{p-2}u \quad \text{in } \mathbb{R}^N, \\ \lim_{x \to \infty}u(x) & = &0…
Semilinear elliptic equations with the pseudo-relativistic operator on a bounded domain
Woocheol Choi, Younghun Hong, Jinmyoung Seok
We study the Dirichlet problem for the semilinear equations involving the pseudo-relativistic operator on a bounded domain, (\sqrt{-Δ+ m^2} - m)u =|u|^{p-1}u \quad \textrm{in}~Ω, w…