On elliptic equations in with critical exponents.
Alves, C.O., Goncalves, J.V., Miyagaki, O.H. (1996)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Multiple positive solutions for equations involving critical Sobolev exponent in .”
On elliptic equations in with critical exponents.
Existence of positive solutions to a superlinear elliptic problem.
Alves, C.O., Miyagaki, O.H. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Multiple solutions to some singular nonlinear Schrödinger equations.
Lazzo, Monica (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Elliptic equations with limiting Sobolev exponent: the impact of the Green's function
Olivier Rey (1992)
Banach Center Publications
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A refinement of the radial Pohozaev identity
Florin Catrina (2010)
Mathematica Bohemica
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In this article we produce a refined version of the classical Pohozaev identity in the radial setting. The refined identity is then compared to the original, and possible applications are discussed.
An elliptic equation with no monotonicity condition on the nonlinearity
Gregory S. Spradlin (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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An elliptic PDE is studied which is a perturbation of an autonomous equation. The existence of a nontrivial solution is proven variational methods. The domain of the equation is unbounded, which imposes a lack of compactness on the variational problem. In addition, a popular monotonicity condition on the nonlinearity is not assumed. In an earlier paper with this assumption, a solution was obtained using a simple application of topological (Brouwer) degree. Here, a more subtle...
Multiplicity of positive and nodal solutions for nonhomogeneous elliptic problems in unbounded cylinder domains.
Hsu, Tsing-San (2009)
Boundary Value Problems [electronic only]
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Multiple solutions for semilinear elliptic boundary value problems at resonance.
Robinson, Steve B. (1995)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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On nodal radial solutions of an elliptic problem involving critical Sobolev exponent
Jan H. Chabrowski (1996)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we construct radial solutions of equation (1) (and (13)) having prescribed number of nodes.