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Weak perturbations of the p-Laplacian [PDF]
Calculus of Variations and Partial Differential Equations, 2014 We consider the p-Laplacian in R^d perturbed by a weakly coupled potential. We calculate the asymptotic expansions of the lowest eigenvalue of such an operator in the weak coupling limit separately for p>d and p=d and discuss the connection with Sobolev interpolation inequalities.
Ekholm, Tomas +2 more
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Applied Mathematics Letters, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Binding, P. A. +2 more
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On Critical p-Laplacian Systems
Advanced Nonlinear Studies, 2017 We consider the critical p-Laplacian ...
Guo Zhenyu, Perera Kanishka, Zou Wenming
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On the Fučí k spectrum for the $p$-Laplacian
Differential and Integral Equations, 2001 The structure of the set \(\{(\alpha, \beta) \in \mathbb R^2\): the problem \(-\Delta_p u = \alpha (u^+)^{p-1} - \beta (u^-)^{p-1}\) in \(\Omega\), \(u=0\) on \(\partial\Omega\) has a nontrivial solution\} is studied. See also \textit{N. Dancer} and \textit{K. Perera} [J. Math. Anal. Appl. 254, 164-177 (2001; Zbl 0970.35056)].
MICHELETTI, ANNA MARIA, A. PISTOIA
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On Coron's problem for the p-Laplacian
Journal of Mathematical Analysis and Applications, 2015 6 ...
Mercuri C., Sciunzi B., Squassina M.
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Oscillatory Property of Solutions for p(t)-Laplacian Equations
Journal of Inequalities and Applications, 2007 We consider the oscillatory property of the following p(t)-Laplacian equations −(|u'|p(t)−2u')'=1/tθ(t)g(t,u), t>0. Since there is no Picone-type identity for p(t)- Laplacian equations, it is an unsolved problem that whether the Sturmian ...
Qihu Zhang
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A multiplicity theorem for problems with the p-Laplacian [PDF]
, 2007 We consider a nonlinear elliptic problem driven by the p-Laplacian, with a parameter λ∈R and a nonlinearity exhibiting a superlinear behavior both at zero and at infinity.
Papageorgiou, EH +5 more
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Weak solutions for p-Laplacian equation
Advances in Nonlinear Analysis, 2012 In this work we consider the p-Laplacian type parabolic equation with Dirichlet boundary condition and establish the existence of weak solutions using Leray–Schauder's fixed point theorem and semi-discretization process.
Bhuvaneswari Venkatasubramaniam +2 more
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Eigenvalues for systems of fractional $p$-Laplacians [PDF]
Rocky Mountain Journal of Mathematics, 2018 19 ...
Pezzo, Leandro M. Del, Rossi, Julio D.
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Quadrature domains and p-Laplacian growth [PDF]
, 2009 The classical Hele-Shaw (Laplacian-growth) problem is generalised to power-law fluids (satisfying the p-Laplace equation) and a number of results are established that are analogous to some of those involving null-quadrature domains in the former.
King, John R., McCue, Scott W.
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