Advances in Differential Equations
- Adv. Differential Equations
- Volume 3, Number 6 (1998), 753-813.
Elliptic boundary value problems involving measures: existence, regularity, and multiplicity
In this paper we study linear and semilinear second order elliptic boundary value problems with measures as data. We are particularly interested in the noncoercive case where we establish existence and multiplicity results, given suitable growth and monotonicity restrictions for the nonlinearities.
Adv. Differential Equations, Volume 3, Number 6 (1998), 753-813.
First available in Project Euclid: 18 April 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35J65: Nonlinear boundary value problems for linear elliptic equations
Secondary: 35B32: Bifurcation [See also 37Gxx, 37K50] 47H11: Degree theory [See also 55M25, 58C30] 47N20: Applications to differential and integral equations
Amann, Herbert; Quittner, Pavol. Elliptic boundary value problems involving measures: existence, regularity, and multiplicity. Adv. Differential Equations 3 (1998), no. 6, 753--813. https://projecteuclid.org/euclid.ade/1366292549