Asymptotic formulae for solutions to boundary value problems for linear and quasilinear elliptic equations and systems near a boundary point are discussed. The boundary is not necessarily smooth. The main ingredient of the proof is a spectral splitting and reduction of the original problem to a finite-dimensional dynamical system. The linear version of the corresponding abstract asymptotic theory is presented in our new book “Differential equations with operator coefficients”, Springer, 1999.
@article{JEDP_1999____A7_0, author = {Kozlov, Vladimir and Maz'ya, Vladimir}, title = {Boundary singularities of solutions to quasilinear elliptic equations}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {7}, pages = {1--9}, publisher = {Universit\'e de Nantes}, year = {1999}, language = {en}, url = {http://www.numdam.org/item/JEDP_1999____A7_0/} }
TY - JOUR AU - Kozlov, Vladimir AU - Maz'ya, Vladimir TI - Boundary singularities of solutions to quasilinear elliptic equations JO - Journées équations aux dérivées partielles PY - 1999 SP - 1 EP - 9 PB - Université de Nantes UR - http://www.numdam.org/item/JEDP_1999____A7_0/ LA - en ID - JEDP_1999____A7_0 ER -
Kozlov, Vladimir; Maz'ya, Vladimir. Boundary singularities of solutions to quasilinear elliptic equations. Journées équations aux dérivées partielles (1999), article no. 7, 9 p. http://www.numdam.org/item/JEDP_1999____A7_0/
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