15 citations · 35 across the 21 of their papers we have counts for
21 papers
On the existence results for -Harmonic equation with critical Choquard Nonlinearity
Abhishek, Sarika Goyal
This article established the existence results for the -harmonic equation involving critical Choquard nonlinearity and subcritical perturbation. We first explore the minimizers…
Positive and nodal solutions for a parametric quasilinear -sub-Laplacian problem with critical exponential growth on the Heisenberg group
Ankit Mishra, Sarika Goyal, Divya Goel
In this article, we investigate the following modified quasilinear equation with parameter driven by the -subLaplacian: \begin{align*} \begin{cases} -Δ_Q u - Δ_Q\bigl(|u|^{2α}\b…
Asymptotic behaviour and existence of positive solutions for mixed local nonlocal elliptic equations with Hardy potential
Shammi Malhotra, Sarika Goyal, K. Sreenadh
We investigate the existence and multiplicity of positive solutions to the following problem driven by the superposition of the Laplacian and the fractional Laplacian with Hardy po…
-biharmonic Kirchhoff equations with critical Choquard nonlinearity
Divya Goel, Sarika Goyal, Diksha Saini
In this article, we deal with the following involving -biharmonic critical Choquard-Kirchhoff equation $$ \left(a+b\left(\int_{\mathbb R^N}|Δu|^p dx\right)^{θ-1}\right) Δ_{p}^{2…
On the eigenvalues and Fuč\'ık spectrum of -Laplace local and nonlocal operator with mixed interpolated Hardy term
Shammi Malhotra, Sarika Goyal, K. Sreenadh
In this article, we are concerned with the eigenvalue problem driven by the mixed local and nonlocal -Laplacian operator having the interpolated Hardy term \begin{equation*} \ma…
Quasilinear Schrödinger Equation involving Critical Hardy Potential and Choquard type Exponential nonlinearity
Shammi Malhotra, Sarika Goyal, K. Sreenadh
In this article, we study the following quasilinear Schrödinger equation involving Hardy potential and Choquard type exponential nonlinearity with a parameter \begin{equation*}…
Modified quasilinear equations with strongly singular and critical exponential nonlinearities
Reshmi Biswas, Sarika Goyal, K. Sreenadh
In this paper, we study global multiplicity result for a class of modified quasilinear strongly singular equations involving the critical exponential growth of Trudinger-Moser type…
Multiplicity results for -Kirchhoff modified Schrödinger equations with Stein-Weiss type critical nonlinearity in
Reshmi Biswas, Sarika Goyal, K. Sreenadh
In this article we study modified Kirchhoff-Schrödinger equations involving critical Stein-Weiss type nonlinearity and -Laplacian
Quasilinear Schrödinger equations with Stein-Weiss type convolution and critical exponential nonlinearity in
Reshmi Biswas, Sarika Goyal, K. Sreenadh
In this article, we investigate the existence of the positive solutions to the following class of quasilinear {Schrödinger} equations involving Stein-Weiss type convolution \begin{…
Quasilinear Choquard equations involving N-Laplacian and critical exponential nonlinearity
Reshmi Biswas, Sarika Goyal, K. Sreenadh
In the present paper, we study a class of quasilinear Choquard equations involving -Laplacian and the nonlinearity with the critical exponential growth. We discuss the existence…
Kirchhoff equations with Choquard exponential type nonlinearity involving the fractional Laplacian
Sarika Goyal, Tuhina Mukherjee
In this article, we deal with the existence of non-negative solutions of the class of following non local problem $$ \left\{ \begin{array}{lr} \quad - M\left(\displaystyle\int_{\ma…
On the first curve of Fučik Spectrum Of -fractional Laplacian Operator with nonlocal normal boundary conditions
Divya Goel, Sarika Goyal, K. Sreenadh
In this article, we study the Fučik spectrum of the -fractional Laplace operator with nonlocal normal derivative conditions which is defined as the set of all $(a,b)\in \mb R^2$…
On the solvability of resonance problems for nonlocal elliptic equations
Sarika Goyal
In this article, we consider the following problem: $$ \quad \left\{ \begin{array}{lr} \quad (-Δ)^s u = αu^+ -βu^{-} + f(u) + h \; \text{in}\;Ω\quad \quad \quad \quad u =0 \; \text…
A note on the eigenvalues of fractional Hardy-Sobolev operator with indefinite weight
Sarika Goyal
In this article, we study the eigenvalue of nonlinear fractional Hardy operator \begin{align*} (-Δ)_p^αu - μ\frac{|u|^{p-2}u}{|x|^{pα}} = λV(x) |u|^{p-2}u \; \text{in}\; Ω, \qu…
Multiplicity results of fractional-Laplace system with sign-changing and singular nonlinearity
Sarika Goyal
In this article, we study the following fractional-Laplacian system with singular nonlinearity \begin{equation*} (P_{λ,μ}) \left\{ \begin{array}{lr} (-Δ)^s u = λf(x) u^{-q}+ \fracα…
Multiplicity results of fractional -Laplace equations with sign-changing and singular nonlinearity
Sarika Goyal
In this article, we study the following fractional -Laplacian equation with singular nonlinearity \begin{equation*} (P_{\la}) \left\{ \begin{array}{lr} - 2\int_{\mb R^n}\frac{|w…
Polyharmonic Kirchhoff type equations with singular exponential nonlinearities
Pawan Kumar Mishra, Sarika Goyal, K. Sreenadh
\noi In this article, we study the existence of non-negative solutions of the following polyharmonic Kirchhoff type problem with critical singular exponential nolinearity $$ \quad…
Existence of multiple solutions of -fractional Laplace operator with sign-changing weight function
Sarika Goyal, K. Sreenadh
In this article, we study the following -fractional Laplacian equation \begin{equation*} (P_{\la}) \left\{ \begin{array}{lr} - 2\int_{\mb R^n}\frac{|u(y)-u(x)|^{p-2}(u(y)-u(x))}…
Kirchhoff type equations with exponential nonlinearities
Sarika Goyal, Pawan Kumar Mishra, K. Sreenadh
In this article, we study the existence of non-negative solutions of the class of non-local problem of -Kirchhoff type $$ \left\{ \begin{array}{lr} \quad - m(\int_Ω|\nabla u|^n)…
A Nehari manifold for non-local elliptic operator with concave-convex non-linearities and sign-changing weight function
Sarika goyal, K. Sreenadh
In this article, we study the existence and multiplicity of non-negative solutions of following -fractional equation: $$ \quad \left\{\begin{array}{lr}\ds \quad - 2\int_{\mb R^n…
On The Fučik Spectrum Of Non-Local Elliptic Operators
Sarika Goyal, K. Sreenadh
In this article, we study the Fučik spectrum of fractional Laplace operator which is defined as the set of all $(\al,\ba)\in \mb R^2$ such that \begin{equation*} \quad \left. \begi…