ORIGINAL PAPER
On the bifurcation results for fractional Laplace equations
G. Dwivedi,
J. Tyagi,
R. B. Verma,
G. Dwivedi
Indian Institute of Technology Gandhinagar, Palaj, Gandhinagar, Gujarat, 382355 India
Search for more papers by this authorCorresponding Author
J. Tyagi
Indian Institute of Technology Gandhinagar, Palaj, Gandhinagar, Gujarat, 382355 India
Corresponding author:
email: [email protected]
Search for more papers by this authorR. B. Verma
Indian Institute of Technology Gandhinagar, Palaj, Gandhinagar, Gujarat, 382355 India
Search for more papers by this authorG. Dwivedi,
J. Tyagi,
R. B. Verma,
G. Dwivedi
Indian Institute of Technology Gandhinagar, Palaj, Gandhinagar, Gujarat, 382355 India
Search for more papers by this authorCorresponding Author
J. Tyagi
Indian Institute of Technology Gandhinagar, Palaj, Gandhinagar, Gujarat, 382355 India
Corresponding author:
email: [email protected]
Search for more papers by this authorR. B. Verma
Indian Institute of Technology Gandhinagar, Palaj, Gandhinagar, Gujarat, 382355 India
Search for more papers by this authorAbstract
In this paper, we consider the bifurcation problem for the fractional Laplace equation
is an open bounded subset with smooth boundary, 
stands for the fractional Laplacian. We show that a continuum of solutions bifurcates out from the principal eigenvalue λ1 of the problem
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