On a class of anisotropic nonlinear elliptic equations in $\mathbb R^N$
Copyright policy )On a class of anisotropic nonlinear elliptic equations in $\mathbb R^N$
The authors prove some imbedding results relative to weighted Sobolev spaces with weights of the type \(| x| ^s\). The results obtained are used to find the ground state solutions of nonlinear elliptic equations with anisotropic coefficients.
Variational methods for second-order elliptic equations, imbedding, Existence of generalized solutions of PDE, Degenerate elliptic equations, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, ground states, weighted Sobolev spaces
Variational methods for second-order elliptic equations, imbedding, Existence of generalized solutions of PDE, Degenerate elliptic equations, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, ground states, weighted Sobolev spaces
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