Some multidimensional fixed point theorems for nonlinear contractions in C-distance spaces with applications
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-024-03079-4
Abstract: In this manuscript, we use the concept of multidimensional fixed point in a generalized space, namely, C-distance space with some nonlinear contraction conditions, such as Jaggi- and Dass-Gupta-type contractions. We provide results with a Jaggi-type… read more here.
Keywords: fixed point; point theorems; theorems nonlinear; applications multidimensional ... See more keywords
Bernstein theorems for nonlinear geometric PDEs
Sign Up to like & getrecommendations! Published in 2024 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2024072
Abstract: In this expository article we revisit the Bernstein problem for several geometric PDEs including the minimal surface, Monge-Amp\`{e}re, and special Lagrangian equations. We also discuss the minimal surface system where appropriate. The article is based… read more here.
Keywords: nonlinear geometric; bernstein theorems; geometric pdes; theorems nonlinear ... See more keywords