期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023; 62 (1)
The question under study is the existence and uniqueness of a non-trivial bounded steady state of a Fisher-KPP equation involving a fractional Laplaci......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023; 62 (1)
We present Liouville-type results for stable solutions and finite Morse index solutions of the polyharmonic Henon elliptic equation (-Delta)(m)u = ver......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023; 62 (2)
We prove the boundedness of the non-local operator L(a)u(x) = integral R-d ( u(x + y) - u(x) -x alpha( y)( del u(x), y)) a(x, y) dy/|y|(d+alpha) from ......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023; 62 (2)
Given a double cone C with entropy at most two that is symmetric across some hyperplane, we show that any integral Brakke flow coming out of the cone ......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023; 62 (3)
Identifying any conformally round metric on the 2-sphere with a unique cross section of the standard lightcone in the 3+ 1-Minkowski spacetime, we gai......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023; 62 (3)
We provide a Maupertuis-type principle for the following system of ODE, of interest in special relativity: d/dt (mx(.) /root 1=|x(.)|(2)/c(2)) = del V......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023; 62 (6)
In this paper, we investigate the issue of maximizing the total equilibrium population with respect to resources distribution m(x) and diffusion rates......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023; 62 (8)
Let w(0) be a bounded, C-3, strictly plurisubharmonic function defined on B-1 subset of C-n. Then w(0) has a neighborhood in L-infinity (B-1) with the......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023; 62 (2)
In this paper, we study the existence of positive solutions to the nonlinear elliptic system{-delta u(1)+u(1)+(mu(11)?u(1)-mu(12)?u(2))u(1)=1/2 pi int......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023; 62 (2)
We study solutions to measure data elliptic systems with Uhlenbeck-type structure that involve operator of divergence form, depending continuously on ......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023; 62 (2)
Recently, the authors of the current paper established in Chen et al. (Calc Var Partial Differ Equ 59:1-38, 2020) the existence of a ground-state solu......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023; 62 (4)
We prove the local well-posedness in Sobolev spaces of the free-boundary problem for compressible inviscid resistive isentropic MHD system under the R......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023; 62 (5)
Thurston's sphere packing on a 3-dimensional manifold is an analogue of Thurston's circle packing on a surface, the rigidity of which has been open fo......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023; 62 (5)
We provide resolvent asymptotics as well as various operator-norm estimates for the system of linear partial differential equations describing thin in......
期刊： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023; 62 (6)
Relying on bifurcation type arguments, we obtain threshold results for the existence, nonexistence and multiplicity of positive solutions with prescri......
