Geodesic
EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A NEUMANN PROBLEM INVOLVING VARIABLE EXPONENT GROWTH CONDITIONS
Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 565-574

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DOI

In this paper we study a non-linear elliptic equation involving p(x)-growth conditions and satisfying a Neumann boundary condition on a bounded domain. For that equation we establish the existence of two solutions using as a main tool an abstract linking argument due to Brézis and Nirenberg.
DOI : 10.1017/S0017089508004424
Mots-clés : 35D05, 35J60, 35J70, 58E05, 76A02 
BOUREANU, MARIA-MAGDALENA; MIHĂILESCU, MIHAI. EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A NEUMANN PROBLEM INVOLVING VARIABLE EXPONENT GROWTH CONDITIONS. Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 565-574. doi: 10.1017/S0017089508004424
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     title = {EXISTENCE {AND} {MULTIPLICITY} {OF} {SOLUTIONS} {FOR} {A} {NEUMANN} {PROBLEM} {INVOLVING} {VARIABLE} {EXPONENT} {GROWTH} {CONDITIONS}},
     journal = {Glasgow mathematical journal},
     pages = {565--574},
     year = {2008},
     volume = {50},
     number = {3},
     doi = {10.1017/S0017089508004424},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004424/}
}
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