Local superlinearity and sublinearity for indefinite semilinear elliptic problems

By D. G. Figueiredo, J. Gossez, P. Ubilla. 2003

208 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/18ec27a50b1a8a6589545d9262a2ba9f257002e3

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In Applied Mathematics

In Computational Theory and Mathematics

Citations in the corpus

The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions (2011, background): “[19], Brown-Wu [7, 8] and Wu [29, 30]; in particular, the existence of at least two positive solutions has been demonstrated in [7, 8, 29, 30] with the nonlinearity given by λ f(x) |u| q−2 u+ g(x) |u| p−2 u.”
Elliptic problems involving the fractional Laplacian in RN (2013, background): “For previous related results in the local setting and in bounded domains we refer to [3,2,15,23] for the semilinear case and to [16] for the quasilinear case.”
Positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space (2013, unknown): “Our results should be compared with similar ones obtained in [8] for a class of semilinear problems, in [9] and in [14] for a class of quasilinear problems driven by the p-Laplace operator and the mean curvature operator in Euclidean space, respectively.”
Existence of entire solutions for a class of quasilinear elliptic equations (2013, background): “to indefinite nonlinearities for the semilinear case in [10] and for the p-Laplacian operator in [11].”
The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions (2008, methodology): “For more general cases, we refer the reader to Ambrosetti–Azorezo–Peral [2], de Figueiredo–Gossez–Ubilla [9], EL Hamidi [10] and Wu [17, 18], etc.”
Multiplicity Results for a Semi-Linear Elliptic Equation Involving Sign-Changing Weight Function (2009, result): “For more general result, de Figueiredo-Grossez-Ubilla [4] proved the following result:”
A Multiplicity Result for the p-Laplacian Involving a Parameter (2008, background): “Further results on this type of nonlinearities are given in [12,13].”
Local "superlinearity"and "sublinearity" for the p-Laplacian (2009, background): “More comments about (He) can be found for instance in [14].”
A fibering map approach to a potential operator equation and its applications (2009, background): “, quasilinear boundary value problems (see [1, 2, 4, 7, 8, 10, 11, 13, 17]), problems with nonlinear boundary conditions (see [6, 12, 16]) and quasilinear elliptic systems (see [3, 5, 18]).”