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Nonexistence theorems for weak solutions of quasilinear elliptic equations.

Kartsatos, A. G., Kurta, V. V. (2001)

Abstract and Applied Analysis

Nonisolated singularities of solutions to a quasilinear elliptic system

Jan Malý (1988)

Commentationes Mathematicae Universitatis Carolinae

Nonlinear boundary value problems involving the extrinsic mean curvature operator

Jean Mawhin (2014)

Mathematica Bohemica

The paper surveys recent results obtained for the existence and multiplicity of radial solutions of Dirichlet problems of the type $\nabla \cdot (\frac{\nabla v}{\sqrt{1 - {| \nabla v |}^{2}}}) = f (| x |, v) in B_{R}, u = 0 on \partial B_{R},$ where $B_{R}$ is the open ball of center $0$ and radius $R$ in $ℝ^{n}$ , and $f$ is continuous. Comparison is made with similar results for the Laplacian. Topological and variational methods are used and the case of positive solutions is emphasized. The paper ends with the case of a general domain.

Nonlinear Commutators and Jacobians.

Tadeusz Iwaniec (1997)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Nonlinear degenerate elliptic equations with measure data

Fengquan Li (2007)

Commentationes Mathematicae Universitatis Carolinae

In this paper we prove existence results for some nonlinear degenerate elliptic equations with data in the space of bounded Radon measures and we improve the results already obtained in Cirmi G.R., On the existence of solutions to non-linear degenerate elliptic equations with measure data, Ricerche Mat. 42 (1993), no. 2, 315–329.

Nonlinear diffusion processes.

Monakhov, V.N. (2003)

Sibirskij Matematicheskij Zhurnal

Nonlinear eigenvalue problems

Walter Petry (1973)

Commentationes Mathematicae Universitatis Carolinae

Nonlinear eigenvalue problems for elliptic partial differential equations

Paul H. Rabinowitz (1972/1973)

Séminaire Jean Leray

Nonlinear Eigenvalue Problems Having Precisely Two Solutions.

Herbert Amann (1976)

Mathematische Zeitschrift

Nonlinear eigenvalue problems with semipositone structure.

Castro, Alfonso, Maya, C., Shivaji, R. (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Nonlinear eigenvalues and bifurcation problems for Pucci's operators

Jérôme Busca, Maria J. Esteban, Alexander Quaas (2005)

Annales de l'I.H.P. Analyse non linéaire

Nonlinear elastic membranes involving the $p$ -Laplacian operator.

Cuccu, Fabrizio, Emamizadeh, Behrouz, Porru, Giovanni (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Nonlinear elliptic differential equations with multivalued nonlinearities

Antonella Fiacca, Nikolaos M. Matzakos, Nikolaos S. Papageorgiou, Raffaella Servadei (2003)

Czechoslovak Mathematical Journal

In this paper we study nonlinear elliptic boundary value problems with monotone and nonmonotone multivalued nonlinearities. First we consider the case of monotone nonlinearities. In the first result we assume that the multivalued nonlinearity is defined on all $ℝ$ . Assuming the existence of an upper and of a lower solution, we prove the existence of a solution between them. Also for a special version of the problem, we prove the existence of extremal solutions in the order interval formed by the upper...

Nonlinear elliptic equations involving critical Sobolev exponent on compact Riemannian manifolds in presence of symmetries.

Zindine Djadli (1999)

Revista Matemática Complutense

In this paper, we study a nonlinear elliptic equation with critical exponent, invariant under the action of a subgroup G of the isometry group of a compact Riemannian manifold. We obtain some existence results of positive solutions of this equation, and under some assumptions on G, we show that we can solve this equation for supercritical exponents.

Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations.

Marie-Francoise Bidaut-Veron, L. Veron (1991)

Inventiones mathematicae

Nonlinear elliptic equations on compact riemannian manifolds and asymptotics of Emden equations (Erratum).

Laurent Veron, M.-F. Bidaut-Veron (1993)

Inventiones mathematicae

Nonlinear elliptic partial difference equations on graphs.

Neuberger, John M. (2006)

Experimental Mathematics

Nonlinear elliptic problems with jumping nonlinearities near the first eigenvalue

Pavel Drábek (1981)

Aplikace matematiky

In this paper existence and multiplicity of solutions of the elliptic problem $ℒ u + λ_{1} u + μ u^{+} v u^{-} + g (x, u) = f$ in $Ω$ $B u = 0$ on $\partial Ω$ , are discussed provided the parameters $μ$ and $v$ are close to the first eigenvalue $_{1}$ . The sufficient conditions...

Nonlinear elliptic systems with dynamic boundary conditions.

Joachim Escher (1992)

Mathematische Zeitschrift

Nonlinear elliptic systems with exponential nonlinearities.

El Manouni, Said, Touzani, Abdelfattah (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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