期刊: ADVANCES IN CALCULUS OF VARIATIONS, 2021; 14 (3)
We prove the existence of a family of blow-up solutions of a mean field equation on the sphere. The solutions blow up at four points where the minimum......
期刊: ADVANCES IN CALCULUS OF VARIATIONS, 2020; 13 (4)
This paper deals with the existence of multiple solutions for the quasilinear equation -div A(x, del u) + vertical bar u vertical bar(alpha(x)-2)u = f......
期刊: ADVANCES IN CALCULUS OF VARIATIONS, 2019; 12 (3)
The paper is concerned with existence of nonnegative solutions of a Schrodinger-Choquard-Kirchhoff-type fractional p-equation. As a consequence, the r......
期刊: ADVANCES IN CALCULUS OF VARIATIONS, 2018; 11 (1)
In this paper, the so-called relative infinity-capacity is introduced and investigated in a close connection to the viscosity solution of the infinity......
期刊: ADVANCES IN CALCULUS OF VARIATIONS, 2018; 11 (2)
In this note, we study the well-posedness of the Cauchy problem for the transport equation in the BMO space and certain Triebel-Lizorkin spaces.
期刊: ADVANCES IN CALCULUS OF VARIATIONS, 2018; 11 (3)
In this paper, we give a remark on the two-phase obstacle-type problem for the p-Laplacian when 1 < p < 2 and p is close to 2. We prove that the......