On the dimension and the index of the solution set of nonlinear equations

TY - JOUR

T1 - On the dimension and the index of the solution set of nonlinear equations

AU - Milojevlc, P. S.

PY - 1995/3

Y1 - 1995/3

N2 - We study the covering dimension and the index of the solution set to multiparameter nonlinear and semilinear operator equations involving Fredholm maps of positive index. The classes of maps under consideration are (pseudo) ^-proper and either approximation-essential or equivariant approximation- essential. Applications are given to semilinear elliptic BVP's.

AB - We study the covering dimension and the index of the solution set to multiparameter nonlinear and semilinear operator equations involving Fredholm maps of positive index. The classes of maps under consideration are (pseudo) ^-proper and either approximation-essential or equivariant approximation- essential. Applications are given to semilinear elliptic BVP's.

KW - (pseudo) A-proper maps

KW - Approximation-essential maps

KW - Covering dimension

KW - Elliptic BVP’s

KW - Equivariant maps

KW - Index

KW - Multiparameter continuation problems

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U2 - 10.1090/S0002-9947-1995-1282894-6

DO - 10.1090/S0002-9947-1995-1282894-6

M3 - Article

SN - 0002-9947

VL - 347

SP - 835

EP - 856

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 3

ER -