Existence and multiplicity results for degenerate elliptic equations with dependence on the gradient.
Iturriaga, Leonelo, Lorca, Sebastian (2007)
Boundary Value Problems [electronic only]
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Iturriaga, Leonelo, Lorca, Sebastian (2007)
Boundary Value Problems [electronic only]
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W. Feng, Jeffrey Ronald Leslie Webb (1997)
Commentationes Mathematicae Universitatis Carolinae
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Surjectivity results of Fredholm alternative type are obtained for nonlinear operator equations of the form , where is invertible, and satisfy various types of homogeneity conditions. We are able to answer some questions left open by Fuč’ık, Nečas, Souček, and Souček. We employ the concept of an -stably-solvable operator, related to nonlinear spectral theory methodology. Applications are given to a nonlinear Sturm-Liouville problem and a three point boundary value problem recently...
Kartsatos, Athanassios G., Skrypnik, Igor V. (2005)
Abstract and Applied Analysis
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In-Sook Kim, Jung-Hyun Bae (2013)
Open Mathematics
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Let X be an infinite-dimensional real reflexive Banach space such that X and its dual X* are locally uniformly convex. Suppose that T: X⊃D(T) → 2X* is a maximal monotone multi-valued operator and C: X⊃D(C) → X* is a generalized pseudomonotone quasibounded operator with L ⊂ D(C), where L is a dense subspace of X. Applying a recent degree theory of Kartsatos and Skrypnik, we establish the existence of an eigensolution to the nonlinear inclusion 0 ∈ T x + λ C x, with a regularization method...
Filippakis, Michael E., Papageorgiou, Nikolaos S. (2004)
Abstract and Applied Analysis
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