The blow-up of solutions for a parabolic equation with nonlocal exponential nonlinearity is studied.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-24, author = {Gershon Wolansky}, title = {On the equation $u\_t = $\Delta$u + M exp u / $\int$exp u dx$ in planar domains}, journal = {Banach Center Publications}, volume = {65}, year = {2004}, pages = {347-351}, zbl = {1062.35151}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-24} }
Gershon Wolansky. On the equation $u_t = Δu + M exp u / ∫exp u dx$ in planar domains. Banach Center Publications, Tome 65 (2004) pp. 347-351. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-24/