On a superlinear elliptic p-Laplacian equation

By Thomas Bartsch, Zhaoli Liu. 2004

200 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/63bae9b28cdb32a6a81b98569d8638f98db5a408

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In Applied Mathematics

In Computational Theory and Mathematics

Citations in the corpus

Coercive and noncoercive nonlinear Neumann problems with indefinite potential (2016, methodology): “Three solutions theorems for coercive nonlinear equations driven by the p-Laplacian (that is, we have a(y) = ‖y‖p−2y for all y ∈ ℝN, 1 p ∞) were proved by Liu [25], Liu and Liu [24] and Kyritsi and Papageorgiou [21].”
Multiple constant sign and nodal solutions for nonlinear elliptic equations with the p-Laplacian (2008, methodology): “We have the works of Bartsch and Liu [4], Carl and Perera [6], Zhang and Li [25] and Zhang, Chen and Li [24].”
Existence of multiple solutions with precise sign information for superlinear Neumann problems (2009, background): “WementiontheworksofBartschandLiu[ 6 ],GarciaAzoreroetal.[17],Motreanuetal.[25], Papageorgiou and Papageorgiou [27 ]f orp-superlinear Dirichlet problems and by Carl and Perera [10], Zhang and Li [32], Zhang et al. [31 ]f orp-linear Dirichlet problems.”
On ground states of superlinear p-Laplacian equations in RN (2010, background): “On the other hand, the quasilinear case is usually considered on a bounded domain, the reader may find some results in this direction in [ 4 ,7,9,21,24].”
Nodal Solutions of a p‐Laplacian Equation (2005, background): “Then kukkL1ð,Þ and kukkC1; ð,Þ, for k 2 N, are bounded as consequences of the conditions (H 0 1) and (H0) (see [8], for instance), where 2 ð0; 1Þ is some :xed number.”
Infinitely many sign-changing solutions for the nonlinear Schrödinger–Poisson system (2014, result): “1, for any q ∈ [2, 6], there exists mq > 0 such that ‖u±‖q = inf w∈P∓ ‖u − w‖q ≤ mq inf w∈P∓ ‖u − w‖E = mqdist(u, P∓).”