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pro vyhledávání: '"Sharma, Lovelesh"'
This paper deals with the existence and multiplicity of nontrivial solutions for $(p, Q)$-Laplace equations with the Stein-Weiss reaction under critical exponential nonlinearity in the Heisenberg group $\mathbb{H}^N$. In addition, a weight function a
Externí odkaz:
http://arxiv.org/abs/2407.16240
Autor:
Mukherjee, Tuhina, Sharma, Lovelesh
In this paper, we study problem involving both local as well as nonlocal operator, precisely the classical Laplace operator and the fractional Laplace operator in the presence of mixed boundary conditions, that is \begin{equation*} \label{1} \begin{c
Externí odkaz:
http://arxiv.org/abs/2311.02567
Publikováno v:
Journal of Mathematical Analysis and Applications, 2023
In this paper, we study the following singular problem, under mixed Dirichlet-Neumann boundary conditions, and involving the fractional Laplacian \begin{equation*} \label{1} \begin{cases} (-\Delta)^{s}u = \lambda u^{-q} + u^{2^*_s-1}, \quad u>0 \quad
Externí odkaz:
http://arxiv.org/abs/2311.02472
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 March 2024 531(2) Part 2
Autor:
Sharma, Lovelesh, Mukherjee, Tuhina
Publikováno v:
Journal of Elliptic & Parabolic Equations; Dec2024, Vol. 10 Issue 2, p1187-1216, 30p