Advances in Differential Equations

Elliptic boundary value problems involving measures: existence, regularity, and multiplicity

Herbert Amann and Pavol Quittner

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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.

Article information

Adv. Differential Equations, Volume 3, Number 6 (1998), 753-813.

First available in Project Euclid: 18 April 2013

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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.

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