期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021; 60 (4)
In the cases where there is no Sobolev-type or Gagliardo-Nirenberg-type fractional estimate involving |u|Ws,p, we establish alternative estimates wher......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021; 60 (2)
We consider the nonlinear Stefan problem 0 in Omega 0 and u0 vanishes on partial derivative Omega 0. When Omega 0 is bounded, the long-time behavior o......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021; 60 (3)
In the present paper, we develop a direct approach to find nontrivial solutions and ground state solutions for the following planar Schrodinger equati......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021; 60 (2)
In the present work, we established almost-sharp error estimates for linear elasticity systems in periodically perforated domains. The first result wa......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021; 60 (2)
We establish global well-posedness of strong solutions to the nonhomogeneous heat conducting magnetohydrodynamic equations with non-negative density o......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021; 60 (4)
In this paper we establish some symmetry results for positive solutions of semilinear elliptic equations with mixed boundary conditions. In particular......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021; 60 (4)
We study the chemotaxis-(Navier-)Stokes system modeling coral fertilization: n(t) + u del n = Delta n - del (nS(x, n, c)del c) - nm, c(t) + u del c = ......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021; 60 (6)
Motivated by the heat flow and bubble analysis of biharmonic mappings, we study further regularity issues of the fourth order Lamm-Riviere system Delt......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021; 60 (4)
Maximization and minimization problems of the principle eigenvalue for divergence form second order elliptic operators with the Dirichlet boundary con......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021; 60 (1)
We consider the nonlinear half-Laplacian heat equation u(t) + (-Delta)(1/2)u - vertical bar u vertical bar(p-1) u = 0, R-n x (0, T). We prove that all......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021; 60 (3)
In this paper, we establish the curvature estimates for a class of Hessian type equations. Some applications are also discussed.
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021; 60 (5)
In this paper, we study solutions with a prescribed L2 mass of a transmission problem of Kirchhoff type, which is an interface problem for elliptic op......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021; 60 (5)
Based on the asymptotic property of the level hypersurfaces of f, we show that the solvability of Dirichlet problem for the fully nonlinear elliptic e......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021; 60 (5)
We revisit the sharp Sobolev inequalities involving boundary terms on Riemannian manifolds with boundaries proved by Li and Zhu (Geom Funct Anal 8: 59......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021; 60 (2)
In this note, we prove blow-up results for semilinear wave models with damping and mass in the scale-invariant case and with nonlinear terms of deriva......
