LAUSR

Nontrivial Weak Solution for a Schrödinger–Kirchhoff-Type System Driven by a $$(p_1,p_2)$$(p1,p2)-Laplacian Operator

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1 Published in 2018 at "Bulletin of the Iranian Mathematical Society"

DOI: 10.1007/s41980-018-0017-x

Abstract: In this paper, we investigate the existence of nontrivial weak solution for a Schrödinger–Kirchhoff-type system driven by a $$(p_1,p_2)$$(p1,p2)-Laplacian operator under appropriate hypotheses. The proofs are based on the variational methods. read more here.

Keywords: dinger kirchhoff; kirchhoff type; weak solution; nontrivial weak ... See more keywords

Positive solutions to Schrödinger-Kirchhoff equations with inverse potential

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0 Published in 2020 at "Complex Variables and Elliptic Equations"

DOI: 10.1080/17476933.2020.1843642

Abstract: This paper is concerned with the existence of positive solutions to Schrödinger-Kirchhoff-type equations where a and b are two positive constants, and is a potential function. Under certain assumptions on V, we prove that has… read more here.

Keywords: positive solutions; dinger kirchhoff; schr dinger; solutions schr ... See more keywords

Multiplicity Results of Solutions to Non-Local Magnetic Schrödinger-Kirchhoff Type Equations in RN

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0 Published in 2022 at "Axioms"

DOI: 10.3390/axioms11020038

Abstract: In this paper, we establish the existence of a nontrivial weak solution to Schrödinger-kirchhoff type equations with the fractional magnetic field without Ambrosetti and Rabinowitz condition using mountain pass theorem under a suitable assumption of… read more here.

Keywords: dinger kirchhoff; type equations; kirchhoff type; schr dinger ... See more keywords

The existence and concentration behavior of ground state solutions for fractional Schrödinger–Kirchhoff type equations

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0 Published in 2018 at "Annales Academiae Scientiarum Fennicae Mathematica"

DOI: 10.5186/aasfm.2018.4361

Abstract: In this paper, we study the following fractional Schrödinger Kirchhoff type problem (Qǫ) { Lǫu = K(x)f(u) in R , u ∈ H(R), where Lǫ is a nonlocal operator defined by L s ǫu =… read more here.

Keywords: dinger kirchhoff; fractional schr; existence concentration; schr dinger ... See more keywords