Geodesic
On general solvability properties of $p$-Lapalacian-like equations
Mathematica Bohemica, Tome 127 (2002) no. 1, pp. 103-122.

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We discuss how the choice of the functional setting and the definition of the weak solution affect the existence and uniqueness of the solution to the equation \[ -\Delta _p u = f \ \text{in} \ \Omega , \] where $\Omega $ is a very general domain in $\mathbb{R}^N$, including the case $\Omega = \mathbb{R}^N$.
DOI : 10.21136/MB.2002.133987
Classification : 35B40, 35J15, 35J20, 35J60
Keywords: quasilinear elliptic equations; weak solutions; solvability 
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Drábek, Pavel; Simader, Christian G. On general solvability properties of $p$-Lapalacian-like equations. Mathematica Bohemica, Tome 127 (2002) no. 1, pp. 103-122. doi : 10.21136/MB.2002.133987. http://geodesic.mathdoc.fr/articles/10.21136/MB.2002.133987/

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