A Dirichlet Type Problem for Non-Pluripolar Complex Monge-Ampère Equations
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DOI: 10.1007/s40306-025-00574-8
Abstract: In this paper, we study a Dirichlet type problem for the non-pluripolar complex Monge - Ampère equation with prescribed singularity on a bounded domain of Cn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$… read more here.
Keywords: problem non; non pluripolar; pluripolar complex; dirichlet type ... See more keywords
The Brezis–Nirenberg type problem for the p-laplacian (1
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DOI: 10.1016/j.jde.2018.10.004
Abstract: Abstract In this paper we consider the quasilinear critical problem ( P λ ) { − Δ p u = λ u q − 1 + u p ⁎ − 1 in Ω u >… read more here.
Keywords: nirenberg type; problem; type problem; brezis nirenberg ... See more keywords
New type of solutions to a slightly subcritical Hénon type problem in dimensions 7, 8 and 9
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DOI: 10.1016/j.jde.2019.09.050
Abstract: Abstract Inspired from the constructive method of Davilla et al. [10] , with new ingredients, we extend their existence results to dimensions 7 ≤ n ≤ 9 concerning the following Henon type problem { −… read more here.
Keywords: new type; type problem; type solutions; solutions slightly ... See more keywords
Bounded state solution of degenerate Kirchhoff type problem with a critical exponent
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.06.013
Abstract: Abstract In the present paper, we investigate the following degenerate Kirchhoff type problem { − ( b ∫ R N | ∇ u | 2 d x ) Δ u + V ( x )… read more here.
Keywords: kirchhoff type; problem; type problem; critical exponent ... See more keywords
Variable exponent p(x)-Kirchhoff type problem with convection
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DOI: 10.1016/j.jmaa.2021.125721
Abstract: Abstract We study a nonlinear p ( x ) -Kirchhoff type problem with Dirichlet boundary condition, in the case of a reaction term depending also on the gradient (convection). Using a topological approach based on… read more here.
Keywords: type problem; convection; kirchhoff type;
A MORDELL–LANG-TYPE PROBLEM FOR $\mathrm{GL}_{m}$
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DOI: 10.1017/s0004972724000753
Abstract: Abstract We prove a nonabelian variant of the classical Mordell–Lang conjecture in the context of finite- dimensional central simple algebras. We obtain the following result as a particular case of a more general statement. Let… read more here.
Keywords: mordell; lang type; problem mathrm; mordell lang ... See more keywords
On a Goldbach-Type Problem for the Liouville Function
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DOI: 10.1093/imrn/rnae149
Abstract: Let $\lambda $ denote the Liouville function. We show that for all $N \geq 11$, the (non-trivial) convolution sum bound $$ \begin{align*} & \left|\sum_{n < N} \lambda(n) \lambda(N-n)\right| < N-1 \end{align*} $$ holds. We also… read more here.
Keywords: function; problem liouville; type problem; goldbach type ... See more keywords
A Cauchy Type Problem for a Degenerate Equation with the Riemann–Liouville Derivative in the Sectorial Case
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DOI: 10.1134/s0037446619020162
Abstract: Under study is the unique solvability of a Cauchy type problem and a generalized Schowalter–Sidorov type problem for a class of linear inhomogeneous equations in Banach spaces with a degenerate operator at the Riemann–Liouville fractional… read more here.
Keywords: riemann liouville; problem; type problem; cauchy type ... See more keywords
Multiple solutions for a Kirchhoff-type problem involving nonlocal fractional $p$-Laplacian and concave-convex nonlinearities
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DOI: 10.1216/rmj-2017-47-6-1803
Abstract: This paper examines a class of Kirchhoff nonlocal operators involving concave-convex nonlinearities and sign-changing weight functions. With the aid of the Nehari manifold, the existence of multiple nontrivial nonnegative solutions is obtained. read more here.
Keywords: convex nonlinearities; type problem; multiple solutions; solutions kirchhoff ... See more keywords
Shephard Type Problem for Lp-mixed Blaschke-Minkowski homomorphisms
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DOI: 10.2989/16073606.2020.1785575
Abstract: Abstract In 2006, Schuster introduced the concept of Blaschke-Minkowski homo-morphism of convex bodies. In this paper, we introduce the Lp -mixed Blaschke-Minkowski homomorphism in Lp -Brunn-Minkowski theory. We then further study the Shephard type problem… read more here.
Keywords: shephard type; blaschke minkowski; type problem; mixed blaschke ... See more keywords
One Turán Type Problem on Uniform Hypergraphs
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DOI: 10.3390/axioms13080544
Abstract: Let n,m,p,r∈N with p≥n≥r. For a hypergraph, if each edge has r vertices, then the hypergraph is called an r-graph. Define er(n,m;p) to be the maximum number of edges of an r-graph with p vertices… read more here.
Keywords: problem uniform; one tur; type problem; tur type ... See more keywords