Results 31 to 40 of about 1,033 (104)
Nonanalytic-hypoellipticity for some degenerate elliptic operators
, 1972 35J70; 35A05.
M. S. Baouendi, C. Goulaouic
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, 2013 We establish the existence of positive solution for the following class of degenerate quasilinear elliptic problem (P){−Luap+V(x)|x|−ap∗|u|p−2u=f(u)in RN,u>0in RN;u∈Da1,p(RN), where −Luap=−div(|x|−ap|∇u|p−2∇u ...
W. D. Bastos, O. Miyagaki, R. S. Vieira
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Multiple solutions for Neumann systems in an Orlicz-Sobolev space setting
, 2017 In this paper, the authors improve some results on the existence of at least three weak solutions for non-homogeneous systems. The proof of the main result relies on a recent variational principle due to Ricceri.
G. Afrouzi, J. Graef, S. Shokooh
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Existence results for nonlinear degenerate elliptic equations with lower order terms
Advances in Nonlinear Analysis, 2020 In this paper, we prove the existence and regularity of solutions of the homogeneous Dirichlet initial-boundary value problem for a class of degenerate elliptic equations with lower order terms. The results we obtained here, extend some existing ones of [
Zou Weilin, Li Xinxin
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Large solutions of a class of degenerate equations associated with infinity Laplacian
Advanced Nonlinear Studies, 2022 In this article, we investigate the boundary blow-up problem Δ∞hu=f(x,u),inΩ,u=∞,on∂Ω,\left\{\begin{array}{ll}{\Delta }_{\infty }^{h}u=f\left(x,u),& {\rm{in}}\hspace{0.33em}\Omega ,\\ u=\infty ,& {\rm{on}}\hspace{0.33em}\partial \Omega ,\end{array}\right.
Li Cuicui, Liu Fang
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Open Mathematics, 2017 We have investigated the behaviour of solutions of elliptic quasi-linear problems in a neighbourhood of boundary singularities in bounded and unbounded domains. We found exponents of the solution’s decreasing rate near the boundary singularities.
Bodzioch Mariusz +2 more
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, 2014 We study the following boundary value problem with a concave-convex nonlinearity: \begin{equation*} \left\{ \begin{array}{r c l l} -\Delta_p u & = & \Lambda\,u^{q-1}+ u^{r-1} & \textrm{in }\Omega, \\ u & = & 0 & \textrm{on }\partial\Omega.
Birindelli I. +5 more
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From Sobolev Inequality to Doubling [PDF]
, 2014 In various analytical contexts, it is proved that a weak Sobolev inequality implies a doubling property for the underlying ...
Korobenko, Lyudmila +2 more
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Anisotropic problems with unbalanced growth
Advances in Nonlinear Analysis, 2020 The main purpose of this paper is to study a general class of (p, q)-type eigenvalues problems with lack of compactness. The reaction is a convex-concave nonlinearity described by power-type terms.
Alsaedi Ahmed, Ahmad Bashir
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Hopf's lemma for a class of singular/degenerate PDE-s
, 2014 This paper concerns Hopf's boundary point lemma, in certain $C^{1,Dini}$-type domains, for a class of singular/degenerate PDE-s, including $p$-Laplacian.
Mikayelyan, Hayk, Shahgholian, Henrik
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