Geodesic
Regularity theory for quasilinear elliptic equations of p-Schrödinger type with certain potentials
Filomat, Tome 37 (2023) no. 10, p. 3105

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In this paper we study the regularity theory in Orlicz spaces for the following divergence quasilinear elliptic equations of p-Schrödinger type with certain potentials in the whole space R n under some proper conditions −div |∇u| p−2 ∇u + V(x) |u| p−2 u = −div |f| p−2 f. Especially when p = 2, the above equation can be reduced to the classical linear divergence elliptic Schrödinger equation −∆u + V(x)u = −div f. Moreover, we would like to remark that the results in this work generalize the results of our previous paper [50].
DOI : 10.2298/FIL2310105Y
Classification : 35J10, 35J15
Keywords: p-Schrödinger, regularity, Orlicz, quasilinear, elliptic, divergence, whole space 
Fengping Yao. Regularity theory for quasilinear elliptic equations of p-Schrödinger type with certain potentials. Filomat, Tome 37 (2023) no. 10, p. 3105 . doi: 10.2298/FIL2310105Y
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     author = {Fengping Yao},
     title = {Regularity theory for quasilinear elliptic equations of {p-Schr\"odinger} type with certain potentials},
     journal = {Filomat},
     pages = {3105 },
     year = {2023},
     volume = {37},
     number = {10},
     doi = {10.2298/FIL2310105Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2310105Y/}
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