A Study on Some Problems on Existence of Solutions for Nonlinear Functional-Integral Equations

Deepmala, _; Pathak, H. K.

doi:10.1016/s0252-9602(13)60083-1

Cited by 46 publications

(25 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Pommerenke [13] shows that (1.3) holds for 3 4 < p < 3.399. In this aspect, we refer to read [12], [4], [5] . Our work, is in part an elaboration of P. Hajlasz's idea,when he constructed a bounded domain Ω ⊂ R 2 with the cone property and proved that u(z) = ℑ(z −1/2 + i 2 ) is a harmonic function in Ω and belong to W 1,p 0 (Ω) for all 1 ≤ p < 4 3 , and shown that the Dirichlet problem for the Laplace equation cannot be in general solved with the boundary data in W 1,p (Ω), for all p < 4.…”

Section: Introductionmentioning

confidence: 99%

Boundary behaviour of holomorphic functions on the cardioid domain with some applications

Alhily¹,

Deepmala²

2019

B Soc Paran Mat

View full text Add to dashboard Cite

The objective of this research paper is to show how the Bennan'sconjecture become a useful tool to construct a holomorphic function on the cardioid domain, and on the boundary of unit disk. Moreover , we have addressed some applications on the existence of cusp on the boundary of arising from integrability of conformalmaps through one of the polar function in the general solution of Laplace equation.

show abstract

Section: Introductionmentioning

confidence: 99%

Boundary behaviour of holomorphic functions on the cardioid domain with some applications

Alhily¹,

Deepmala²

2019

B Soc Paran Mat

View full text Add to dashboard Cite

show abstract

“…Dislocated metric space plays very important role in topology, logical programming and in electronic engineering. Recently Wadkar et al [19], Mishra et al [20] [21] [22] [23], Deepmala and pathak [24], Wadkar et al [25], [26] discussed and proved fixed point theorems by employing different concepts.…”

Section: Introductionmentioning

confidence: 99%