Nontrivial Solutions of Systems of Hammerstein Integral Equations with First Derivative Dependence
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-1044-1
Abstract: By means of classical fixed point index, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations where the nonlinearities are allowed to depend on… read more here.
Keywords: nontrivial solutions; solutions systems; first derivative; hammerstein integral ... See more keywords
Note on nontrivial solutions for a class of p-Laplacian systems
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DOI: 10.1016/j.jmaa.2017.03.041
Abstract: Abstract We prove the existence of nonzero positive solutions of the p -Laplacian system { − Δ p u i = f i ( x , u ) in Ω , i ∈ { 1… read more here.
Keywords: nontrivial solutions; solutions class; class laplacian; note nontrivial ... See more keywords
Sign-changing and nontrivial solutions for a class of Kirchhoff-type problems
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DOI: 10.1016/j.jmaa.2019.123476
Abstract: Abstract In this paper, we study the existence of sign-changing (nodal) and nontrivial solutions for the nonlinear Kirchhoff-type equation { − ( a + b ∫ Ω | ∇ u | 2 d x )… read more here.
Keywords: nontrivial solutions; solutions class; sign changing; changing nontrivial ... See more keywords
Existence of nontrivial solutions for generalized quasilinear Schrödinger equations with critical or supercritical growths
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DOI: 10.1016/s0252-9602(17)30113-3
Abstract: Abstract In this paper, we study the following generalized quasilinear Schrodinger equations with critical or supercritical growths - div ( g 2 ( u ) ∇ u ) + g ( u ) g ′… read more here.
Keywords: critical supercritical; nontrivial solutions; equations critical; generalized quasilinear ... See more keywords
Nontrivial solutions for a fractional p-Laplacian problem via Rabier Theorem
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DOI: 10.1080/17476933.2016.1245725
Abstract: Abstract By using a generalization of the Struwe–Jeanjean monotonicity trick we prove the existence of a non-trivial weak solution for the following problem where is a smooth bounded open set in , , , ,… read more here.
Keywords: nontrivial solutions; problem via; fractional laplacian; solutions fractional ... See more keywords
On the Existence of Three Nontrivial Solutions of a Resonance Elliptic Boundary Value Problem with a Discontinuous Nonlinearity
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DOI: 10.1134/s0012266120070034
Abstract: We study the homogeneous Dirichlet problem for a second-order elliptic equation with a nonlinearity discontinuous in the state variable in the resonance case. A class of resonance problems that does not overlap with the previously… read more here.
Keywords: nontrivial solutions; three nontrivial; nonlinearity; resonance ... See more keywords
Nontrivial solutions of nonlocal boundary value problems for nonlinear higher-order singular fractional differential equations
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DOI: 10.11948/2018.938
Abstract: This paper deals with the existence and multiplicity of nontrivial solutions of nonlocal boundary value problems for nonlinear higher-order singular fractional differential equations with sign-changing nonlinear term. The main tool used in the proof is… read more here.
Keywords: nontrivial solutions; problems nonlinear; solutions nonlocal; boundary value ... See more keywords
Parameter dependence for existence, nonexistence and multiplicity of nontrivial solutions for an Atıcı–Eloe dofractional difference Lidstone BVP
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DOI: 10.14232/ejqtde.2017.1.38
Abstract: Dependence on a parameter λ are established for existence, nonexistence and multiplicity results for nontrivial solutions to a nonlinear Atıcı–Eloe fractional difference equation ∆y(t− 2)− β∆ν−2y(t− 1) = λ f (t + ν− 1, y(t… read more here.
Keywords: dependence; nontrivial solutions; existence nonexistence; parameter ... See more keywords
Multiple Existence Results of Nontrivial Solutions for a Class of Second-Order Partial Difference Equations
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DOI: 10.3390/sym15010006
Abstract: In this paper, we consider the existence and multiplicity of nontrivial solutions for discrete elliptic Dirichlet problems Δ12u(i−1,j)+Δ22u(i,j−1)=−f((i,j),u(i,j)),(i,j)∈Ω,u(i,0)=u(i,T2+1)=0i∈Z(1,T1),u(0,j)=u(T1+1,j)=0j∈Z(1,T2), which have a symmetric structure. When the nonlinearity f(·,u) is resonant at both zero and infinity, we… read more here.
Keywords: solutions class; existence; nontrivial solutions; existence results ... See more keywords
Existence and multiplicity of nontrivial solutions of biharmonic equations via differential inclusion
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DOI: 10.3934/cpaa.2020020
Abstract: This paper is concerned with a class of biharmonic elliptic differential inclusion in \begin{document}$ \mathbb R^N $\end{document} . Under various growth conditions on the nonlinearity, new results on existence and multiplicity of solutions are derived.… read more here.
Keywords: differential inclusion; nontrivial solutions; solutions biharmonic; multiplicity nontrivial ... See more keywords