Add to ORKGAbstract. We find and prove sharp estimates for the Green function and 3G in-equalities in uniform cones. Estimates are applied to give equivalent conditions for measures to satisfy the generalized Cranston-McConnell inequality, and to show the existence of infinitely many continuous solutions to nonlinear Schrödinger problems. 1
In this note we establish two-sided pointwise estimates near the pole of the Green function for X-e...
Abstract. Let D be a domain in R2 with the Green function G(x, y) for the Laplace equation. We give ...
A general method is proposed for finding sharp constants for the embeddings of the Sobolev spaces H ...
We find and prove sharp estimates for the Green function and 3G inequalities in uniform cones. Estim...
We investigate Caffarelli-Kohn-Nirenberg type inequalities for the weighted biharmonic operator in c...
We establish sharp estimates for Green’s functions of cone-type planar domains. Our work generalizes...
We establish a new form of the 3G theorem for polyharmonic Green function on the unit ball ofRn (n ≥...
We establish a new form of the 3G theorem for polyharmonic Green function on the unit ball of ℝn(n≥2...
Abstract In this paper, we formulate new Abel-Gontscharoff type identities involving new Green funct...
We prove a uniform boundedness principle for the Lipschitz seminorm of continuous, monotone, positiv...
Abstract. We study the Schrödinger equation on a flat euclidean cone R+× S1ρ of cross-sectional rad...
A comparison estimate for the product of the Green function and the Martin kernel is given in a unif...
We prove a Harnack inequality for the positive solutions ofa Schroedinger type equationL_0 u + V u =...
We establish necessary and sufficient conditions for various Hardy-type inequalities on the cones of...
Abstract. We generalize the theorems of Stein–Tomas and Strichartz about surface re-strictions of Fo...
In this note we establish two-sided pointwise estimates near the pole of the Green function for X-e...
Abstract. Let D be a domain in R2 with the Green function G(x, y) for the Laplace equation. We give ...
A general method is proposed for finding sharp constants for the embeddings of the Sobolev spaces H ...
We find and prove sharp estimates for the Green function and 3G inequalities in uniform cones. Estim...
We investigate Caffarelli-Kohn-Nirenberg type inequalities for the weighted biharmonic operator in c...
We establish sharp estimates for Green’s functions of cone-type planar domains. Our work generalizes...
We establish a new form of the 3G theorem for polyharmonic Green function on the unit ball ofRn (n ≥...
We establish a new form of the 3G theorem for polyharmonic Green function on the unit ball of ℝn(n≥2...
Abstract In this paper, we formulate new Abel-Gontscharoff type identities involving new Green funct...
We prove a uniform boundedness principle for the Lipschitz seminorm of continuous, monotone, positiv...
Abstract. We study the Schrödinger equation on a flat euclidean cone R+× S1ρ of cross-sectional rad...
A comparison estimate for the product of the Green function and the Martin kernel is given in a unif...
We prove a Harnack inequality for the positive solutions ofa Schroedinger type equationL_0 u + V u =...
We establish necessary and sufficient conditions for various Hardy-type inequalities on the cones of...
Abstract. We generalize the theorems of Stein–Tomas and Strichartz about surface re-strictions of Fo...
In this note we establish two-sided pointwise estimates near the pole of the Green function for X-e...
Abstract. Let D be a domain in R2 with the Green function G(x, y) for the Laplace equation. We give ...
A general method is proposed for finding sharp constants for the embeddings of the Sobolev spaces H ...