Results 91 to 100 of about 88,801 (291)
Bifurcation for indefinite‐weighted p$p$‐Laplacian problems with slightly subcritical nonlinearity
Mathematische Nachrichten, Volume 297, Issue 11, Page 3982-4002, November 2024.Abstract We study a superlinear elliptic boundary value problem involving the p$p$‐Laplacian operator, with changing sign weights. The problem has positive solutions bifurcating from the trivial solution set at the two principal eigenvalues of the corresponding linear weighted boundary value problem.
Mabel Cuesta, Rosa Pardo
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Nonexistence of positive supersolutions of elliptic equations via the maximum principle [PDF]
, 2010 We introduce a new method for proving the nonexistence of positive supersolutions of elliptic inequalities in unbounded domains of $\mathbb{R}^n$. The simplicity and robustness of our maximum principle-based argument provides for its applicability to ...
Armstrong, Scott N., Sirakov, Boyan
core
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this paper, we study a class of quasilinear elliptic equations with $\Phi$-Laplacian operator and critical growth. Using the symmetric mountain pass theorem and the concentration-compactness principle, we demonstrate that there exists $\lambda_i>0 ...
Xuewei Li, Gao Jia
doaj +1 more source
Quasilinear elliptic equations with positive exponent on the gradient
Glasnik Matematicki, 2013 We study the existence and nonexistence of positive, spherically symmetric solutions of a quasilinear elliptic equation (1.1) involving p-Laplace operator, with an arbitrary positive growth rate $e_0$ on the gradient on the right-hand side. We show that $e_0 = p − 1$ is the critical exponent: for $e_0 < p−1$ there exists a strong solution for any ...
Jadranka Kraljević, Darko Žubrinić
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Existence of a positive solution for some quasilinear elliptic equations in
Journal of Differential Equations, 2022 Takuma Saito
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Codimension two mean curvature flow of entire graphs
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We consider the graphical mean curvature flow of maps f:Rm→Rn$\mathbf {f}:{\mathbb {R}^{m}}\rightarrow {\mathbb {R}^{n}}$, m⩾2$m\geqslant 2$, and derive estimates on the growth rates of the evolved graphs, based on a new version of the maximum principle for properly immersed submanifolds that extends the well‐known maximum principle of Ecker ...
Andreas Savas Halilaj, Knut Smoczyk
wiley +1 more source
, 2017 For the homogeneous Dirichlet problem involving a system of equations driven by \begin{document}$(p,q)$\end{document} -Laplacian operators and general gradient dependence we prove the existence of solutions in the ordered rectangle determined by a ...
D. Motreanu, C. Vetro, F. Vetro
semanticscholar +1 more source
Strong Effects of Chorus Waves on Radiation Belts Expected for Future Magnetic Superstorms
AGU Advances, Volume 5, Issue 5, October 2024.Abstract Processes in the radiation belts under extreme geomagnetic conditions involve the interplay between acceleration and loss processes, both of which can be caused by wave‐particle interactions. Whistler mode waves play a critical role in these interactions, and up to now their properties during extreme events remained poorly sampled and ...
Ondřej Santolík +6 more
wiley +1 more source
A compactness result for quasilinear elliptic equations by mountain pass techniques [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2009 A class of solutions to some quasilinear elliptic equations is considered. Some estimates due to some Mountain Pass techniques allow to obtain a compactness result for this class of solutions, with a suitable continuous dependence on the data.
Mario Girardi, Michele Matzeu
doaj
Asymptotics for some quasilinear elliptic equations
Differential and Integral Equations, 1996 Let $B$ be the unit ball of $\mathbb{R}^n$, $n \ge 3$. We consider the problem $\Delta u = f(\vert x\vert)u^{p-\epsilon}$ in $B$, $u > 0$ in $B$, $u = 0$ on $\partial B$, where $f \in C^\infty(\mathbb{R},\mathbb{R})$, $p = (n+2)/(n-2)$, $\epsilon \ge 0$.
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