Existence of Multiple Solutions of a Kirchhoff Type $p$-Laplacian Equation on the Sierpiński Gasket
Sign Up to like & getrecommendations! Published in 2019 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-019-00283-z
Abstract: In this paper, we study the following boundary value problem involving the weak $p$-Laplacian. $$ -M\bigl(\|u\|_{\mathcal{E}_{p}}^{p}\bigr)\Delta _{p} u = h(x,u) \quad \text{in}\ \mathcal{S}\setminus \mathcal{S}_{0}; \quad u = 0 \ \text{on}\ \mathcal{S}_{0}, $$ where $\mathcal{S}$ is… read more here.
Keywords: multiple solutions; kirchhoff type; existence multiple; solutions kirchhoff ... See more keywords
Positive solutions for a Kirchhoff problem with vanishing nonlocal term
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DOI: 10.1016/j.jde.2018.04.027
Abstract: In this paper we study the Kirchhoff problem \begin{equation*} \left \{ \begin{array}{ll} -m(\| u \|^{2})\Delta u = f(u) & \mbox{in $\Omega$,} u=0 & \mbox{on $\partial\Omega$,} \end{array}\right. \end{equation*} in a bounded domain, allowing the function $m$… read more here.
Keywords: kirchhoff problem; positive solutions; vanishing nonlocal; solutions kirchhoff ... See more keywords
Existence of solutions for Kirchhoff type systems involving Q-Laplacian operator in Heisenberg group
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DOI: 10.1016/j.jmaa.2020.124727
Abstract: Abstract Let H n be the Heisenberg group, Q = 2 n + 2 be the homogeneous dimension of H n , we study the existence of solutions for the following Q-Laplacian elliptic system {… read more here.
Keywords: kirchhoff type; group; heisenberg group; solutions kirchhoff ... See more keywords
Existence and multiplicity of solutions for Kirchhoff-type potential systems with variable critical growth exponent
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DOI: 10.1080/00036811.2021.1979223
Abstract: In this paper, by using the concentration-compactness principle of Lions for variable exponents found in [Bonder JF, Silva A. Concentration-compactness principal for variable exponent space and app... read more here.
Keywords: multiplicity solutions; existence multiplicity; type potential; solutions kirchhoff ... See more keywords
Positive solutions to a Kirchhoff problem with sign-changing and non-Lipschitz nonlinearities
Sign Up to like & getrecommendations! Published in 2019 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2019.1684481
Abstract: ABSTRACT Let Ω be a bounded smooth domain in ( ), , where , and , and let . We investigate the structure of the set of couples of positive parameters such that the nonlocal… read more here.
Keywords: kirchhoff problem; positive solutions; sign changing; solutions kirchhoff ... See more keywords
Existence and Multiplicity of Positive Solutions for Kirchhoff-Type Equations with the Critical Sobolev Exponent
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DOI: 10.1155/2020/3965721
Abstract: which was proposed by Kirchhoff in [6]. In fact, (3) is an extension and generalization of the classical D’Alembert wave equation in some ways. .is model is widely used in many fields, such as non-Newtonian… read more here.
Keywords: multiplicity positive; existence multiplicity; positive solutions; type equations ... See more keywords
Multiple solutions for a Kirchhoff-type problem involving nonlocal fractional $p$-Laplacian and concave-convex nonlinearities
Sign Up to like & getrecommendations! Published in 2017 at "Rocky Mountain Journal of Mathematics"
DOI: 10.1216/rmj-2017-47-6-1803
Abstract: This paper examines a class of Kirchhoff nonlocal operators involving concave-convex nonlinearities and sign-changing weight functions. With the aid of the Nehari manifold, the existence of multiple nontrivial nonnegative solutions is obtained. read more here.
Keywords: convex nonlinearities; type problem; multiple solutions; solutions kirchhoff ... See more keywords