Existence of positive solutions for a critical fractional Kirchhoff equation with potential vanishing at infinity
Copyright policy )Existence of positive solutions for a critical fractional Kirchhoff equation with potential vanishing at infinity
AbstractIn this paper, we consider the following fractional Kirchhoff equation with critical nonlinearity where , is the fractional Laplace operator with , V vanishes at infinity and . Under appropriate assumptions on f, we prove the existence of positive solution by using the variational method.
- The University of Texas at San Antonio United States
- Central South University China (People's Republic of)
- Yunnan Normal University China (People's Republic of)
Variational methods for second-order elliptic equations, Integro-partial differential equations, Variational methods applied to PDEs, fractional Kirchhoff equation, Quasilinear elliptic equations, variational methods, Integro-differential operators, Fractional partial differential equations, critical growth
Variational methods for second-order elliptic equations, Integro-partial differential equations, Variational methods applied to PDEs, fractional Kirchhoff equation, Quasilinear elliptic equations, variational methods, Integro-differential operators, Fractional partial differential equations, critical growth
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