期刊： ADVANCED NONLINEAR STUDIES, 2023; 23 (1)
We consider the existence and nonexistence of the positive solution for the following Br & eacute;zis- Nirenberg problem with logarithmic perturba......
期刊： ADVANCED NONLINEAR STUDIES, 2023; 23 (1)
We are interested in sharp functional inequalities for the coherent state transform related to the Wehrl conjecture and its generalizations. This conj......
期刊： ADVANCED NONLINEAR STUDIES, 2023; 23 (1)
This article concerns the Lp Minkowski problem for q-capacity. We consider the case p >= 1 and 1 < q < nin the smooth category by a kind of c......
期刊： ADVANCED NONLINEAR STUDIES, 2023; 23 (1)
In this article, we are concerned with multiple solutions of Schrodinger-Choquard-Kirchhoff equations involving the fractional p-Laplacian and Hardy-L......
期刊： ADVANCED NONLINEAR STUDIES, 2023; 23 (1)
In this article, we consider the homogeneous complex k-Hessian equation in an exterior domain C-n?omega . We prove the existence and uniqueness of the......
期刊： ADVANCED NONLINEAR STUDIES, 2023; 23 (1)
We consider a nonlinear Neumann problem, with periodic oscillation in the elliptic operator and on the boundary condition. Our focus is on problems po......
期刊： ADVANCED NONLINEAR STUDIES, 2023; 23 (1)
In this article, we revisit previous Pogorelov-type interior and global second derivative estimates of N. S. Trudinger, F. Jiang, and J. Liu for solut......
期刊： ADVANCED NONLINEAR STUDIES, 2023; 23 (1)
Chord measures are newly discovered translation-invariant geometric measures of convex bodies in R (n) , in addition to Aleksandrov-Fenchel-Jessen's a......
期刊： ADVANCED NONLINEAR STUDIES, 2023; 23 (1)
In the present article, we prove the existence and uniqueness of smooth solutions to an anisotropic L-p Minkowski problem for the log-concave measure.......
期刊： ADVANCED NONLINEAR STUDIES, 2023; 23 (1)
We observe that the k-dimensional width of an n-ball in a space form is given by the area of an equatorial k-ball. We also discuss the relationship be......
期刊： ADVANCED NONLINEAR STUDIES, 2023; 23 (1)
In this article, we prove that, generically in the sense of domain variations, any solution to a nonlinear eigenvalue problem is either nondegenerate ......
期刊： ADVANCED NONLINEAR STUDIES, 2023; 23 (1)
Let I be a bounded interval of R and lambda(1)(I) denote the first eigenvalue of the nonlocal operator (-). 14 with the Dirichlet boundary. We prove t......
期刊： ADVANCED NONLINEAR STUDIES, 2023; 23 (1)
We discuss some of our work on averages along polynomial sequences in nilpotent groups of step 2. Our main results include boundedness of associated m......
期刊： ADVANCED NONLINEAR STUDIES, 2023; 23 (1)
This article deals with existence of solutions to the following fractional p-Laplacian system of equations: {(-Delta(p))(s) u = vertical bar u vertica......
期刊： ADVANCED NONLINEAR STUDIES, 2023; 23 (1)
In this article, we introduce a notion of capillary Schwarz symmetrization in the half-space. It can be viewed as the counterpart of the classical Sch......
