Leray-Lions equations of $(p, q)$-type in the entire space with unbounded potentials

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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Leray-Lions equations of \((p, q)\)-type in the entire space with unbounded potentials